112924399920 has 320 divisors, whose sum is σ = 379923540480. Its totient is φ = 27641036800.

The previous prime is 112924399901. The next prime is 112924399943. The reversal of 112924399920 is 29993429211.

112924399920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31532530 + ... + 31536110.

It is an arithmetic number, because the mean of its divisors is an integer number (1187261064).

Almost surely, 2^112924399920 is an apocalyptic number.

112924399920 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 112924399920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189961770240).

112924399920 is an abundant number, since it is smaller than the sum of its proper divisors (266999140560).

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

112924399920 is a wasteful number, since it uses less digits than its factorization.

112924399920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 112924399920 in words is "one hundred twelve billion, nine hundred twenty-four million, three hundred ninety-nine thousand, nine hundred twenty".