112380375391200 has 2304 divisors, whose sum is σ = 483809034240000. Its totient is φ = 25160142551040.

The previous prime is 112380375391069. The next prime is 112380375391213. The reversal of 112380375391200 is 2193573083211.

112380375391200 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 80 + 37 + 539 + 1 + 2 + 0 + 0 = 666.

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

It is a congruent number.

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, 78096160081 + ... + 78096161519.

It is an arithmetic number, because the mean of its divisors is an integer number (209986560000).

Almost surely, 2^{112380375391200} is an apocalyptic number.

112380375391200 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 112380375391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241904517120000).

112380375391200 is an abundant number, since it is smaller than the sum of its proper divisors (371428658848800).

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

112380375391200 is a wasteful number, since it uses less digits than its factorization.

112380375391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 112380375391200 in words is "one hundred twelve trillion, three hundred eighty billion, three hundred seventy-five million, three hundred ninety-one thousand, two hundred".