112627312 has 80 divisors (see below), whose sum is σ = 266500800. Its totient is φ = 45010944.

The previous prime is 112627303. The next prime is 112627313. The reversal of 112627312 is 213726211.

It is a happy number.

It is a super-2 number, since 2×112627312² = 25369822816690688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112627313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283498 + ... + 283894.

It is an arithmetic number, because the mean of its divisors is an integer number (3331260).

Almost surely, 2^112627312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112627312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133250400).

112627312 is an abundant number, since it is smaller than the sum of its proper divisors (153873488).

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

112627312 is a wasteful number, since it uses less digits than its factorization.

112627312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 572 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 112627312 is about 10612.6015660629. The cubic root of 112627312 is about 482.9267249640.

The spelling of 112627312 in words is "one hundred twelve million, six hundred twenty-seven thousand, three hundred twelve".