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121221121000 = 2353719911437
BaseRepresentation
bin111000011100101010…
…1111000001111101000
3102120220002220222121011
41300321111320033220
53441230101333000
6131404353153304
711520654345640
oct1607125701750
9376802828534
10121221121000
1147456187431
121b5b085b834
13b57b195285
145c1d5b3520
1532472b42ba
hex1c395783e8

121221121000 has 128 divisors (see below), whose sum is σ = 341242387200. Its totient is φ = 39374035200.

The previous prime is 121221120997. The next prime is 121221121001. The reversal of 121221121000 is 121122121.

It is not an unprimeable number, because it can be changed into a prime (121221121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322719 + ... + 588718.

It is an arithmetic number, because the mean of its divisors is an integer number (2665956150).

Almost surely, 2121221121000 is an apocalyptic number.

121221121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221121000 is an abundant number, since it is smaller than the sum of its proper divisors (220021266200).

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

121221121000 is a wasteful number, since it uses less digits than its factorization.

121221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911484 (or 911470 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121221121000 its reverse (121122121), we get a palindrome (121342243121).

The spelling of 121221121000 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 66500 133000 911437 1822874 3645748 4557185 6380059 7291496 9114370 12760118 17317303 18228740 22785925 25520236 31900295 34634606 36457480 45571850 51040472 63800590 69269212 86586515 91143700 113929625 121221121 127601180 138538424 159501475 173173030 182287400 227859250 242442242 255202360 319002950 346346060 432932575 455718500 484884484 606105605 638005900 692692120 797507375 865865150 911437000 969768968 1212211210 1276011800 1595014750 1731730300 2164662875 2424422420 3030528025 3190029500 3463460600 4329325750 4848844840 6061056050 6380059000 8658651500 12122112100 15152640125 17317303000 24244224200 30305280250 60610560500 121221121000