112977192 has 64 divisors (see below), whose sum is σ = 300168000. Its totient is φ = 35334144.

The previous prime is 112977167. The next prime is 112977203. The reversal of 112977192 is 291779211.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 112977192.

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, 48568 + ... + 50840.

It is an arithmetic number, because the mean of its divisors is an integer number (4690125).

Almost surely, 2^112977192 is an apocalyptic number.

112977192 is a gapful number since it is divisible by the number (12) 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 112977192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150084000).

112977192 is an abundant number, since it is smaller than the sum of its proper divisors (187190808).

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

112977192 is a wasteful number, since it uses less digits than its factorization.

112977192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2406 counting only the distinct ones).

The product of its digits is 15876, while the sum is 39.

The square root of 112977192 is about 10629.0729605173. The cubic root of 112977192 is about 483.4262832995.

The spelling of 112977192 in words is "one hundred twelve million, nine hundred seventy-seven thousand, one hundred ninety-two".