112542852600 has 768 divisors, whose sum is σ = 430429593600. Its totient is φ = 26901504000.

The previous prime is 112542852581. The next prime is 112542852629. The reversal of 112542852600 is 6258245211.

112542852600 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 42 + 8 + 5 + 2 + 600 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202051522 + ... + 202052078.

It is an arithmetic number, because the mean of its divisors is an integer number (560455200).

Almost surely, 2^112542852600 is an apocalyptic number.

112542852600 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 112542852600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215214796800).

112542852600 is an abundant number, since it is smaller than the sum of its proper divisors (317886741000).

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

112542852600 is a wasteful number, since it uses less digits than its factorization.

112542852600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 112542852600 in words is "one hundred twelve billion, five hundred forty-two million, eight hundred fifty-two thousand, six hundred".