112362242400 has 432 divisors, whose sum is σ = 403518141936. Its totient is φ = 29415260160.

The previous prime is 112362242359. The next prime is 112362242437. The reversal of 112362242400 is 4242263211.

112362242400 is a `hidden beast` number, since 1 + 1 + 2 + 36 + 224 + 2 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164512459 + ... + 164513141.

It is an arithmetic number, because the mean of its divisors is an integer number (934069773).

Almost surely, 2^112362242400 is an apocalyptic number.

112362242400 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 112362242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201759070968).

112362242400 is an abundant number, since it is smaller than the sum of its proper divisors (291155899536).

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

112362242400 is a wasteful number, since it uses less digits than its factorization.

112362242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 112362242400 in words is "one hundred twelve billion, three hundred sixty-two million, two hundred forty-two thousand, four hundred".