112152872700 has 288 divisors, whose sum is σ = 394236433920. Its totient is φ = 27125798400.

The previous prime is 112152872647. The next prime is 112152872717. The reversal of 112152872700 is 7278251211.

112152872700 is a `hidden beast` number, since 1 + 121 + 528 + 7 + 2 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13568769 + ... + 13577031.

Almost surely, 2^112152872700 is an apocalyptic number.

112152872700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112152872700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197118216960).

112152872700 is an abundant number, since it is smaller than the sum of its proper divisors (282083561220).

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

112152872700 is a wasteful number, since it uses less digits than its factorization.

112152872700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 112152872700 in words is "one hundred twelve billion, one hundred fifty-two million, eight hundred seventy-two thousand, seven hundred".