112314437125200 has 600 divisors, whose sum is σ = 430942424223168. Its totient is φ = 27915030466560.

The previous prime is 112314437125171. The next prime is 112314437125223. The reversal of 112314437125200 is 2521734413211.

112314437125200 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 4 + 437 + 12 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×112314437125200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55742539 + ... + 57722261.

Almost surely, 2^{112314437125200} is an apocalyptic number.

112314437125200 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 112314437125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215471212111584).

112314437125200 is an abundant number, since it is smaller than the sum of its proper divisors (318627987097968).

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

112314437125200 is a wasteful number, since it uses less digits than its factorization.

112314437125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979873 (or 1979853 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 112314437125200 in words is "one hundred twelve trillion, three hundred fourteen billion, four hundred thirty-seven million, one hundred twenty-five thousand, two hundred".