12113491874400 has 2592 divisors, whose sum is σ = 53536650935040. Its totient is φ = 2617289625600.

The previous prime is 12113491874399. The next prime is 12113491874521. The reversal of 12113491874400 is 447819431121.

12113491874400 is a `hidden beast` number, since 1 + 2 + 11 + 34 + 91 + 87 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 77155999122 + ... + 77155999278.

It is an arithmetic number, because the mean of its divisors is an integer number (20654572120).

Almost surely, 2^{12113491874400} is an apocalyptic number.

12113491874400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12113491874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26768325467520).

12113491874400 is an abundant number, since it is smaller than the sum of its proper divisors (41423159060640).

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

12113491874400 is a wasteful number, since it uses less digits than its factorization.

12113491874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12113491874400 in words is "twelve trillion, one hundred thirteen billion, four hundred ninety-one million, eight hundred seventy-four thousand, four hundred".