112812 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 29952.

The previous prime is 112807. The next prime is 112831. The reversal of 112812 is 218211.

It is a junction number, because it is equal to n+sod(n) for n = 112791 and 112800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2¹¹²⁸¹² is an apocalyptic number.

112812 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 112812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

112812 is an abundant number, since it is smaller than the sum of its proper divisors (209748).

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

112812 is a wasteful number, since it uses less digits than its factorization.

112812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 112812 is about 335.8749767399. The cubic root of 112812 is about 48.3190551034.

The spelling of 112812 in words is "one hundred twelve thousand, eight hundred twelve".