112315392 has 132 divisors (see below), whose sum is σ = 370850896. Its totient is φ = 32071680.

The previous prime is 112315367. The next prime is 112315393. The reversal of 112315392 is 293513211.

112315392 is a `hidden beast` number, since 1 + 123 + 1 + 539 + 2 = 666.

It is a super-2 number, since 2×112315392² = 25229494560227328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112315393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63642 + ... + 65382.

Almost surely, 2^112315392 is an apocalyptic number.

112315392 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 112315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185425448).

112315392 is an abundant number, since it is smaller than the sum of its proper divisors (258535504).

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

112315392 is a wasteful number, since it uses less digits than its factorization.

112315392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1753 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 112315392 is about 10597.8956401731. The cubic root of 112315392 is about 482.4804928264.

The spelling of 112315392 in words is "one hundred twelve million, three hundred fifteen thousand, three hundred ninety-two".