112291920 has 400 divisors, whose sum is σ = 443638272. Its totient is φ = 26127360.

The previous prime is 112291897. The next prime is 112291931. The reversal of 112291920 is 29192211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2611419 + ... + 2611461.

Almost surely, 2^112291920 is an apocalyptic number.

112291920 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 112291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221819136).

112291920 is an abundant number, since it is smaller than the sum of its proper divisors (331346352).

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

112291920 is a wasteful number, since it uses less digits than its factorization.

112291920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 112291920 is about 10596.7881926554. The cubic root of 112291920 is about 482.4468804220.

The spelling of 112291920 in words is "one hundred twelve million, two hundred ninety-one thousand, nine hundred twenty".