112538716920000 has 840 divisors, whose sum is σ = 468478134009600. Its totient is φ = 25287116544000.

The previous prime is 112538716919999. The next prime is 112538716920001. The reversal of 112538716920000 is 29617835211.

112538716920000 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 387 + 1 + 69 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112538716919999) and next prime (112538716920001).

It is a tau number, because it is divible by the number of its divisors (840).

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

It is not an unprimeable number, because it can be changed into a prime (112538716920001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148301541 + ... + 149058459.

Almost surely, 2^{112538716920000} is an apocalyptic number.

112538716920000 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 112538716920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234239067004800).

112538716920000 is an abundant number, since it is smaller than the sum of its proper divisors (355939417089600).

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

112538716920000 is an equidigital number, since it uses as much as digits as its factorization.

112538716920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757023 (or 756995 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 112538716920000 in words is "one hundred twelve trillion, five hundred thirty-eight billion, seven hundred sixteen million, nine hundred twenty thousand".