112627125 has 128 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 51840000.

The previous prime is 112627093. The next prime is 112627127. The reversal of 112627125 is 521726211.

112627125 is a `hidden beast` number, since 1 + 12 + 627 + 1 + 25 = 666.

It is not a de Polignac number, because 112627125 - 2⁵ = 112627093 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112627127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 745800 + ... + 745950.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^112627125 is an apocalyptic number.

112627125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112627125 is an abundant number, since it is smaller than the sum of its proper divisors (126389835).

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

112627125 is a wasteful number, since it uses less digits than its factorization.

112627125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 112627125 is about 10612.5927557784. The cubic root of 112627125 is about 482.9264576891.

The spelling of 112627125 in words is "one hundred twelve million, six hundred twenty-seven thousand, one hundred twenty-five".