112305754400 has 72 divisors (see below), whose sum is σ = 313333070400. Its totient is φ = 38504828160.

The previous prime is 112305754391. The next prime is 112305754403. The reversal of 112305754400 is 4457503211.

112305754400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112305754400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (112305754403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10021700 + ... + 10032899.

It is an arithmetic number, because the mean of its divisors is an integer number (4351848200).

Almost surely, 2^112305754400 is an apocalyptic number.

112305754400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112305754400 is an abundant number, since it is smaller than the sum of its proper divisors (201027316000).

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

112305754400 is a wasteful number, since it uses less digits than its factorization.

112305754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20054626 (or 20054613 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 112305754400 in words is "one hundred twelve billion, three hundred five million, seven hundred fifty-four thousand, four hundred".