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12140881272 = 23321330374271
BaseRepresentation
bin10110100111010011…
…10010010101111000
31011100010012200010100
423103221302111320
5144331031200042
65324421115400
7606601534212
oct132351622570
934303180110
1012140881272
115170235883
122429b58b60
1311b63c0020
148326115b2
154b0ced24c
hex2d3a72578

12140881272 has 96 divisors (see below), whose sum is σ = 35430857280. Its totient is φ = 3733551360.

The previous prime is 12140881253. The next prime is 12140881309. The reversal of 12140881272 is 27218804121.

It is a happy number.

12140881272 is a `hidden beast` number, since 121 + 408 + 8 + 127 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2840497 + ... + 2844767.

It is an arithmetic number, because the mean of its divisors is an integer number (369071430).

Almost surely, 212140881272 is an apocalyptic number.

12140881272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12140881272 is an abundant number, since it is smaller than the sum of its proper divisors (23289976008).

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

12140881272 is a wasteful number, since it uses less digits than its factorization.

12140881272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 12140881272 in words is "twelve billion, one hundred forty million, eight hundred eighty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 3037 4271 6074 8542 9111 12148 12813 17084 18222 24296 25626 27333 34168 36444 38439 39481 51252 54666 55523 72888 76878 78962 102504 109332 111046 118443 153756 157924 166569 218664 222092 236886 307512 315848 333138 355329 444184 473772 499707 666276 710658 947544 999414 1332552 1421316 1998828 2842632 3997656 12971027 25942054 38913081 51884108 77826162 103768216 116739243 155652324 168623351 233478486 311304648 337246702 466956972 505870053 674493404 933913944 1011740106 1348986808 1517610159 2023480212 3035220318 4046960424 6070440636 12140881272