112388320 has 48 divisors (see below), whose sum is σ = 289659888. Its totient is φ = 40867840.

The previous prime is 112388219. The next prime is 112388321. The reversal of 112388320 is 23883211.

It is a super-2 number, since 2×112388320² = 25262268944844800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112388321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30169 + ... + 33688.

It is an arithmetic number, because the mean of its divisors is an integer number (6034581).

Almost surely, 2^112388320 is an apocalyptic number.

112388320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112388320 is an abundant number, since it is smaller than the sum of its proper divisors (177271568).

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

112388320 is a wasteful number, since it uses less digits than its factorization.

112388320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63883 (or 63875 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 112388320 is about 10601.3357648930. The cubic root of 112388320 is about 482.5848974078.

It can be divided in two parts, 1 and 12388320, that added together give a palindrome (12388321).

The spelling of 112388320 in words is "one hundred twelve million, three hundred eighty-eight thousand, three hundred twenty".