112524940800 has 840 divisors, whose sum is σ = 432585616320. Its totient is φ = 28964044800.

The previous prime is 112524940799. The next prime is 112524940807. The reversal of 112524940800 is 8049425211.

112524940800 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 249 + 408 + 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 not an unprimeable number, because it can be changed into a prime (112524940807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 289267006 + ... + 289267394.

Almost surely, 2^112524940800 is an apocalyptic number.

112524940800 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 112524940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216292808160).

112524940800 is an abundant number, since it is smaller than the sum of its proper divisors (320060675520).

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

112524940800 is an frugal number, since it uses more digits than its factorization.

112524940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 112524940800 in words is "one hundred twelve billion, five hundred twenty-four million, nine hundred forty thousand, eight hundred".