12137294064960 has 168 divisors, whose sum is σ = 42765460022376. Its totient is φ = 3157669969920.

The previous prime is 12137294064943. The next prime is 12137294065003. The reversal of 12137294064960 is 6946049273121.

12137294064960 is a `hidden beast` number, since 1 + 2 + 137 + 2 + 9 + 406 + 49 + 60 = 666.

12137294064960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1056224841984 + 11081069222976 = 1027728^2 + 3328824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12137294064897 and 12137294064906.

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, 51276289 + ... + 51512448.

It is an arithmetic number, because the mean of its divisors is an integer number (254556309657).

Almost surely, 2^{12137294064960} is an apocalyptic number.

12137294064960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12137294064960 is an abundant number, since it is smaller than the sum of its proper divisors (30628165957416).

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

12137294064960 is a wasteful number, since it uses less digits than its factorization.

12137294064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102788801 (or 102788788 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12137294064960 in words is "twelve trillion, one hundred thirty-seven billion, two hundred ninety-four million, sixty-four thousand, nine hundred sixty".