112957992 has 96 divisors (see below), whose sum is σ = 354182400. Its totient is φ = 31853952.

The previous prime is 112957981. The next prime is 112957997. The reversal of 112957992 is 299759211.

It is not an unprimeable number, because it can be changed into a prime (112957997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38398 + ... + 41234.

It is an arithmetic number, because the mean of its divisors is an integer number (3689400).

Almost surely, 2^112957992 is an apocalyptic number.

112957992 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 112957992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177091200).

112957992 is an abundant number, since it is smaller than the sum of its proper divisors (241224408).

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

112957992 is a wasteful number, since it uses less digits than its factorization.

112957992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2928 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 112957992 is about 10628.1697389532. The cubic root of 112957992 is about 483.3988963248.

The spelling of 112957992 in words is "one hundred twelve million, nine hundred fifty-seven thousand, nine hundred ninety-two".