112855920 has 160 divisors (see below), whose sum is σ = 366405120. Its totient is φ = 28707840.

The previous prime is 112855913. The next prime is 112855943. The reversal of 112855920 is 29558211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630391 + ... + 630569.

It is an arithmetic number, because the mean of its divisors is an integer number (2290032).

Almost surely, 2^112855920 is an apocalyptic number.

112855920 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 112855920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183202560).

112855920 is an abundant number, since it is smaller than the sum of its proper divisors (253549200).

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

112855920 is a wasteful number, since it uses less digits than its factorization.

112855920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 112855920 is about 10623.3666979917. The cubic root of 112855920 is about 483.2532481924.

It can be divided in two parts, 11285 and 5920, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 112855920 in words is "one hundred twelve million, eight hundred fifty-five thousand, nine hundred twenty".