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12235642272 = 25347674363
BaseRepresentation
bin10110110010100110…
…10001010110100000
31011120201112000210000
423121103101112200
5200024311023042
65342044140000
7612132146310
oct133123212640
934521460700
1012235642272
115209779157
122455837600
1311ccc1b019
1484103b440
154b92ba74c
hex2d94d15a0

12235642272 has 120 divisors (see below), whose sum is σ = 41125414176. Its totient is φ = 3495892608.

The previous prime is 12235642231. The next prime is 12235642297. The reversal of 12235642272 is 27224653221.

12235642272 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 5 + 642 + 2 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 319038 + ... + 355325.

Almost surely, 212235642272 is an apocalyptic number.

12235642272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12235642272 is an abundant number, since it is smaller than the sum of its proper divisors (28889771904).

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

12235642272 is an equidigital number, since it uses as much as digits as its factorization.

12235642272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674392 (or 674375 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 12235642272 in words is "twelve billion, two hundred thirty-five million, six hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 674363 1348726 2023089 2697452 4046178 4720541 5394904 6069267 8092356 9441082 10789808 12138534 14161623 16184712 18207801 18882164 21579616 24277068 28323246 32369424 36415602 37764328 42484869 48554136 54623403 56646492 64738848 72831204 75528656 84969738 97108272 109246806 113292984 127454607 145662408 151057312 169939476 194216544 218493612 226585968 254909214 291324816 339878952 382363821 436987224 453171936 509818428 582649632 679757904 764727642 873974448 1019636856 1359515808 1529455284 1747948896 2039273712 3058910568 4078547424 6117821136 12235642272