112912 has 10 divisors (see below), whose sum is σ = 218798. Its totient is φ = 56448.

The previous prime is 112909. The next prime is 112913. The reversal of 112912 is 219211.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 16 = 336^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 7057 = 112912 / (1 + 1 + 2 + 9 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (112913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3513 + ... + 3544.

2¹¹²⁹¹² is an apocalyptic number.

It is an amenable number.

112912 is a deficient number, since it is larger than the sum of its proper divisors (105886).

112912 is an equidigital number, since it uses as much as digits as its factorization.

112912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7059 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 112912 is about 336.0238086803. The cubic root of 112912 is about 48.3333280486. Note that the first 4 decimals are identical.

Subtracting from 112912 its sum of digits (16), we obtain a square (112896 = 336²).

It can be divided in two parts, 112 and 912, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 112912 in words is "one hundred twelve thousand, nine hundred twelve".