112683312 has 100 divisors (see below), whose sum is σ = 372759376. Its totient is φ = 32192640.

The previous prime is 112683301. The next prime is 112683331. The reversal of 112683312 is 213386211.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2862 + ... + 15282.

Almost surely, 2^112683312 is an apocalyptic number.

112683312 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 112683312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186379688).

112683312 is an abundant number, since it is smaller than the sum of its proper divisors (260076064).

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

112683312 is a wasteful number, since it uses less digits than its factorization.

112683312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12448 (or 12433 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 112683312 is about 10615.2396110498. The cubic root of 112683312 is about 483.0067511884.

The spelling of 112683312 in words is "one hundred twelve million, six hundred eighty-three thousand, three hundred twelve".