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12315125952 = 26342375603
BaseRepresentation
bin10110111100000100…
…11110100011000000
31011210021002012220000
423132002132203000
5200210133012302
65354003520000
7614115562203
oct133602364300
934707065800
1012315125952
11524a627448
122478389000
13121352a39c
1484b80b93a
154c126b31c
hex2de09e8c0

12315125952 has 70 divisors (see below), whose sum is σ = 36505906668. Its totient is φ = 4105040256.

The previous prime is 12315125947. The next prime is 12315125959. The reversal of 12315125952 is 25952151321.

12315125952 is a `hidden beast` number, since 12 + 3 + 1 + 51 + 2 + 595 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12315125959) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1182618 + ... + 1192985.

Almost surely, 212315125952 is an apocalyptic number.

12315125952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12315125952 is an abundant number, since it is smaller than the sum of its proper divisors (24190780716).

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

12315125952 is an equidigital number, since it uses as much as digits as its factorization.

12315125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375627 (or 2375608 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The spelling of 12315125952 in words is "twelve billion, three hundred fifteen million, one hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 2375603 4751206 7126809 9502412 14253618 19004824 21380427 28507236 38009648 42760854 57014472 64141281 76019296 85521708 114028944 128282562 152038592 171043416 192423843 228057888 256565124 342086832 384847686 456115776 513130248 684173664 769695372 1026260496 1368347328 1539390744 2052520992 3078781488 4105041984 6157562976 12315125952