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12081341700 = 22335231144341
BaseRepresentation
bin10110100000001101…
…01010010100000100
31011011222011202012000
423100012222110010
5144220310413300
65314453025300
7605246465361
oct132006522404
934158152160
1012081341700
11513a66991a
122412025230
1311a6c747cc
14828753468
154aa98bc00
hex2d01aa504

12081341700 has 144 divisors (see below), whose sum is σ = 40092433920. Its totient is φ = 3117744000.

The previous prime is 12081341693. The next prime is 12081341707. The reversal of 12081341700 is 714318021.

It is an interprime number because it is at equal distance from previous prime (12081341693) and next prime (12081341707).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12081341707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11530 + ... + 155870.

It is an arithmetic number, because the mean of its divisors is an integer number (278419680).

Almost surely, 212081341700 is an apocalyptic number.

12081341700 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 12081341700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046216960).

12081341700 is an abundant number, since it is smaller than the sum of its proper divisors (28011092220).

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

12081341700 is a wasteful number, since it uses less digits than its factorization.

12081341700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144395 (or 144382 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 12081341700 its reverse (714318021), we get a palindrome (12795659721).

The spelling of 12081341700 in words is "twelve billion, eighty-one million, three hundred forty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 90 93 100 108 124 135 150 155 180 186 225 270 279 300 310 372 450 465 540 558 620 675 775 837 900 930 1116 1350 1395 1550 1674 1860 2325 2700 2790 3100 3348 4185 4650 5580 6975 8370 9300 13950 16740 20925 27900 41850 83700 144341 288682 433023 577364 721705 866046 1299069 1443410 1732092 2165115 2598138 2886820 3608525 3897207 4330230 4474571 5196276 6495345 7217050 7794414 8660460 8949142 10825575 12990690 13423713 14434100 15588828 17898284 19486035 21651150 22372855 25981380 26847426 32476725 38972070 40271139 43302300 44745710 53694852 64953450 67118565 77944140 80542278 89491420 97430175 111864275 120813417 129906900 134237130 161084556 194860350 201355695 223728550 241626834 268474260 335592825 389720700 402711390 447457100 483253668 604067085 671185650 805422780 1006778475 1208134170 1342371300 2013556950 2416268340 3020335425 4027113900 6040670850 12081341700