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12357135108672 = 26364360078691
BaseRepresentation
bin1011001111010001111010…
…1001100000101001000000
31121202022220222210101012120
42303310132221200221000
53104424403041434142
642140442310524240
72413526220235614
oct263643651405100
947668828711176
1012357135108672
113a346a4689982
121476a8b666680
136b837157acb3
1430a134cdb344
1516668657a7ec
hexb3d1ea60a40

12357135108672 has 28 divisors (see below), whose sum is σ = 32694919975536. Its totient is φ = 4119045036160.

The previous prime is 12357135108641. The next prime is 12357135108673. The reversal of 12357135108672 is 27680153175321.

It is a super-2 number, since 2×123571351086722 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12357135108673) 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 3 ways as a sum of consecutive naturals, for example, 32180039154 + ... + 32180039537.

It is an arithmetic number, because the mean of its divisors is an integer number (1167675713412).

Almost surely, 212357135108672 is an apocalyptic number.

12357135108672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12357135108672 is an abundant number, since it is smaller than the sum of its proper divisors (20337784866864).

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

12357135108672 is an equidigital number, since it uses as much as digits as its factorization.

12357135108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64360078706 (or 64360078696 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 12357135108672 in words is "twelve trillion, three hundred fifty-seven billion, one hundred thirty-five million, one hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 64360078691 128720157382 193080236073 257440314764 386160472146 514880629528 772320944292 1029761259056 1544641888584 2059522518112 3089283777168 4119045036224 6178567554336 12357135108672