112887216 has 80 divisors (see below), whose sum is σ = 348970720. Its totient is φ = 34732800.

The previous prime is 112887211. The next prime is 112887251. The reversal of 112887216 is 612788211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (112887211) 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 15 ways as a sum of consecutive naturals, for example, 4435 + ... + 15666.

It is an arithmetic number, because the mean of its divisors is an integer number (4362134).

Almost surely, 2^112887216 is an apocalyptic number.

112887216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112887216 is an abundant number, since it is smaller than the sum of its proper divisors (236083504).

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

112887216 is a wasteful number, since it uses less digits than its factorization.

112887216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20131 (or 20119 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 112887216 is about 10624.8395752595. The cubic root of 112887216 is about 483.2979142760.

The spelling of 112887216 in words is "one hundred twelve million, eight hundred eighty-seven thousand, two hundred sixteen".