112239251942400 has 4224 divisors, whose sum is σ = 496862827315200. Its totient is φ = 24524881920000.

The previous prime is 112239251942387. The next prime is 112239251942443. The reversal of 112239251942400 is 4249152932211.

112239251942400 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 3 + 92 + 519 + 4 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 317958220624 + ... + 317958220976.

Almost surely, 2^{112239251942400} is an apocalyptic number.

112239251942400 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 112239251942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248431413657600).

112239251942400 is an abundant number, since it is smaller than the sum of its proper divisors (384623575372800).

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

112239251942400 is a wasteful number, since it uses less digits than its factorization.

112239251942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 112239251942400 in words is "one hundred twelve trillion, two hundred thirty-nine billion, two hundred fifty-one million, nine hundred forty-two thousand, four hundred".