112977920 has 192 divisors, whose sum is σ = 318427200. Its totient is φ = 38010880.

The previous prime is 112977889. The next prime is 112977923. The reversal of 112977920 is 29779211.

It is not an unprimeable number, because it can be changed into a prime (112977923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1914851 + ... + 1914909.

It is an arithmetic number, because the mean of its divisors is an integer number (1658475).

Almost surely, 2^112977920 is an apocalyptic number.

112977920 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 112977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159213600).

112977920 is an abundant number, since it is smaller than the sum of its proper divisors (205449280).

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

112977920 is a wasteful number, since it uses less digits than its factorization.

112977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The square root of 112977920 is about 10629.1072061580. The cubic root of 112977920 is about 483.4273216612.

It can be divided in two parts, 1 and 12977920, that added together give a palindrome (12977921).

The spelling of 112977920 in words is "one hundred twelve million, nine hundred seventy-seven thousand, nine hundred twenty".