112397916600 has 480 divisors, whose sum is σ = 402393776400. Its totient is φ = 29059430400.

The previous prime is 112397916593. The next prime is 112397916611. The reversal of 112397916600 is 6619793211.

112397916600 is a `hidden beast` number, since 1 + 1 + 2 + 39 + 7 + 9 + 1 + 6 + 600 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130846971 + ... + 130847829.

Almost surely, 2^112397916600 is an apocalyptic number.

112397916600 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 112397916600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201196888200).

112397916600 is an abundant number, since it is smaller than the sum of its proper divisors (289995859800).

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

112397916600 is a wasteful number, since it uses less digits than its factorization.

112397916600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 112397916600 in words is "one hundred twelve billion, three hundred ninety-seven million, nine hundred sixteen thousand, six hundred".