112549920 has 384 divisors, whose sum is σ = 447068160. Its totient is φ = 23224320.

The previous prime is 112549919. The next prime is 112549991. The reversal of 112549920 is 29945211.

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, 2617419 + ... + 2617461.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240).

Almost surely, 2^112549920 is an apocalyptic number.

112549920 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 112549920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

112549920 is an abundant number, since it is smaller than the sum of its proper divisors (334518240).

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

112549920 is a wasteful number, since it uses less digits than its factorization.

112549920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 112549920 is about 10608.9547081699. The cubic root of 112549920 is about 482.8160850479.

The spelling of 112549920 in words is "one hundred twelve million, five hundred forty-nine thousand, nine hundred twenty".