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121012202102000 = 24531131317573657
BaseRepresentation
bin11011100000111101011001…
…010100011101110011110000
3120212110122122102121110121012
4123200331121110131303300
5111330130442214231000
61105212123240450052
734326562115120456
oct3340753124356360
9525418572543535
10121012202102000
1135615a94339a20
12116a4b85779928
13526a52b69bcc1
1421c5043ca29d6
15decc1225e735
hex6e0f5951dcf0

121012202102000 has 160 divisors (see below), whose sum is σ = 320228039611584. Its totient is φ = 43863845376000.

The previous prime is 121012202101997. The next prime is 121012202102003. The reversal of 121012202102000 is 201202210121.

It is an interprime number because it is at equal distance from previous prime (121012202101997) and next prime (121012202102003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121012202102003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1900829 + ... + 15672828.

Almost surely, 2121012202102000 is an apocalyptic number.

121012202102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121012202102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160114019805792).

121012202102000 is an abundant number, since it is smaller than the sum of its proper divisors (199215837509584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121012202102000 is a wasteful number, since it uses less digits than its factorization.

121012202102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17574004 (or 17573988 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121012202102000 its reverse (201202210121), we get a palindrome (121213404312121).

The spelling of 121012202102000 in words is "one hundred twenty-one trillion, twelve billion, two hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 313 400 440 500 550 626 880 1000 1100 1252 1375 1565 2000 2200 2504 2750 3130 3443 4400 5008 5500 6260 6886 7825 11000 12520 13772 15650 17215 22000 25040 27544 31300 34430 39125 55088 62600 68860 78250 86075 125200 137720 156500 172150 275440 313000 344300 430375 626000 688600 860750 1377200 1721500 3443000 6886000 17573657 35147314 70294628 87868285 140589256 175736570 193310227 281178512 351473140 386620454 439341425 702946280 773240908 878682850 966551135 1405892560 1546481816 1757365700 1933102270 2196707125 3092963632 3514731400 3866204540 4393414250 4832755675 5500554641 7029462800 7732409080 8786828500 9665511350 11001109282 15464818160 17573657000 19331022700 22002218564 24163778375 27502773205 35147314000 38662045400 44004437128 48327556750 55005546410 60506101051 77324090800 88008874256 96655113500 110011092820 121012202102 137513866025 193310227000 220022185640 242024404204 275027732050 302530505255 386620454000 440044371280 484048808408 550055464100 605061010510 687569330125 968097616816 1100110928200 1210122021020 1375138660250 1512652526275 2200221856400 2420244042040 2750277320500 3025305052550 4840488084080 5500554641000 6050610105100 7563262631375 11001109282000 12101220210200 15126525262750 24202440420400 30253050525500 60506101051000 121012202102000