112638312 has 24 divisors (see below), whose sum is σ = 305062290. Its totient is φ = 37546080.

The previous prime is 112638271. The next prime is 112638313. The reversal of 112638312 is 213836211.

It is a happy number.

112638312 is a `hidden beast` number, since 1 + 12 + 638 + 3 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102941316 + 9696996 = 10146^2 + 3114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (112638313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 782139 + ... + 782282.

Almost surely, 2^112638312 is an apocalyptic number.

112638312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112638312 is an abundant number, since it is smaller than the sum of its proper divisors (192423978).

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

112638312 is a wasteful number, since it uses less digits than its factorization.

112638312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564433 (or 1564426 counting only the distinct ones).

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

The square root of 112638312 is about 10613.1198052222. The cubic root of 112638312 is about 482.9424464941.

The spelling of 112638312 in words is "one hundred twelve million, six hundred thirty-eight thousand, three hundred twelve".