112812912 has 100 divisors (see below), whose sum is σ = 332098536. Its totient is φ = 36961920.

The previous prime is 112812883. The next prime is 112812919. The reversal of 112812912 is 219218211.

It is a super-2 number, since 2×112812912² = 25453506227839488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112812919) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78343 + ... + 79769.

Almost surely, 2^112812912 is an apocalyptic number.

112812912 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 112812912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166049268).

112812912 is an abundant number, since it is smaller than the sum of its proper divisors (219285624).

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

112812912 is a wasteful number, since it uses less digits than its factorization.

112812912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1493 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 112812912 is about 10621.3422880538. The cubic root of 112812912 is about 483.1918531074.

The spelling of 112812912 in words is "one hundred twelve million, eight hundred twelve thousand, nine hundred twelve".