112505040 has 60 divisors (see below), whose sum is σ = 377831844. Its totient is φ = 30001152.

The previous prime is 112505021. The next prime is 112505069. The reversal of 112505040 is 40505211.

112505040 is a `hidden beast` number, since 112 + 50 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 91929744 = 4536^2 + 9588^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77409 + ... + 78848.

Almost surely, 2^112505040 is an apocalyptic number.

112505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112505040 is an abundant number, since it is smaller than the sum of its proper divisors (265326804).

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

112505040 is a wasteful number, since it uses less digits than its factorization.

112505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156276 (or 156267 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 112505040 is about 10606.8393030158. The cubic root of 112505040 is about 482.7519011826.

It can be divided in two parts, 11250 and 5040, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 112505040 in words is "one hundred twelve million, five hundred five thousand, forty".