112831920 has 80 divisors (see below), whose sum is σ = 388650720. Its totient is φ = 30087936.

The previous prime is 112831919. The next prime is 112831933. The reversal of 112831920 is 29138211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23959 + ... + 28278.

It is an arithmetic number, because the mean of its divisors is an integer number (4858134).

Almost surely, 2^112831920 is an apocalyptic number.

112831920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112831920 is an abundant number, since it is smaller than the sum of its proper divisors (275818800).

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

112831920 is a wasteful number, since it uses less digits than its factorization.

112831920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52259 (or 52247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 112831920 is about 10622.2370525234. The cubic root of 112831920 is about 483.2189894661.

It can be divided in two parts, 11283 and 1920, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 112831920 in words is "one hundred twelve million, eight hundred thirty-one thousand, nine hundred twenty".