12133115617014 has 64 divisors (see below), whose sum is σ = 30820470451200. Its totient is φ = 3465905998464.

The previous prime is 12133115616917. The next prime is 12133115617093. The reversal of 12133115617014 is 41071651133121.

12133115617014 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 11 + 561 + 70 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12133115617014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1353619 + ... + 5108670.

It is an arithmetic number, because the mean of its divisors is an integer number (481569850800).

Almost surely, 2^{12133115617014} is an apocalyptic number.

12133115617014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12133115617014 is an abundant number, since it is smaller than the sum of its proper divisors (18687354834186).

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

12133115617014 is a wasteful number, since it uses less digits than its factorization.

12133115617014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6467274 (or 6467268 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 12133115617014 in words is "twelve trillion, one hundred thirty-three billion, one hundred fifteen million, six hundred seventeen thousand, fourteen".