112314920 has 64 divisors (see below), whose sum is σ = 268920000. Its totient is φ = 42071040.

The previous prime is 112314907. The next prime is 112314931. The reversal of 112314920 is 29413211.

It is a super-2 number, since 2×112314920² = 25229282509212800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224831 + ... + 225329.

It is an arithmetic number, because the mean of its divisors is an integer number (4201875).

Almost surely, 2^112314920 is an apocalyptic number.

112314920 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 112314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134460000).

112314920 is an abundant number, since it is smaller than the sum of its proper divisors (156605080).

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

112314920 is a wasteful number, since it uses less digits than its factorization.

112314920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 112314920 is about 10597.8733715779. The cubic root of 112314920 is about 482.4798169585.

The spelling of 112314920 in words is "one hundred twelve million, three hundred fourteen thousand, nine hundred twenty".