112724617700 has 36 divisors (see below), whose sum is σ = 246898541232. Its totient is φ = 44668442400.

The previous prime is 112724617673. The next prime is 112724617741. The reversal of 112724617700 is 7716427211.

It is a super-2 number, since 2×112724617700² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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, 5256806 + ... + 5278205.

It is an arithmetic number, because the mean of its divisors is an integer number (6858292812).

Almost surely, 2^112724617700 is an apocalyptic number.

112724617700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112724617700 is an abundant number, since it is smaller than the sum of its proper divisors (134173923532).

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

112724617700 is a wasteful number, since it uses less digits than its factorization.

112724617700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10535132 (or 10535125 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 112724617700 in words is "one hundred twelve billion, seven hundred twenty-four million, six hundred seventeen thousand, seven hundred".