112150664683200 has 1680 divisors, whose sum is σ = 485161163219040. Its totient is φ = 25052405760000.

The previous prime is 112150664683199. The next prime is 112150664683207. The reversal of 112150664683200 is 2386466051211.

112150664683200 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 506 + 6 + 46 + 83 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112150664683207) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11138207766 + ... + 11138217834.

It is an arithmetic number, because the mean of its divisors is an integer number (288786406678).

Almost surely, 2^{112150664683200} is an apocalyptic number.

112150664683200 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 112150664683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242580581609520).

112150664683200 is an abundant number, since it is smaller than the sum of its proper divisors (373010498535840).

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

112150664683200 is a wasteful number, since it uses less digits than its factorization.

112150664683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10728 (or 10704 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 112150664683200 in words is "one hundred twelve trillion, one hundred fifty billion, six hundred sixty-four million, six hundred eighty-three thousand, two hundred".