112083318835200 has 1728 divisors, whose sum is σ = 421847700019200. Its totient is φ = 28404272332800.

The previous prime is 112083318835199. The next prime is 112083318835211. The reversal of 112083318835200 is 2538813380211.

112083318835200 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 8 + 33 + 18 + 83 + 520 + 0 = 666.

It is a super-2 number, since 2×112083318835200² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 358093670244 + ... + 358093670556.

It is an arithmetic number, because the mean of its divisors is an integer number (244124826400).

Almost surely, 2^{112083318835200} is an apocalyptic number.

112083318835200 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 112083318835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210923850009600).

112083318835200 is an abundant number, since it is smaller than the sum of its proper divisors (309764381184000).

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

112083318835200 is a wasteful number, since it uses less digits than its factorization.

112083318835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 112083318835200 in words is "one hundred twelve trillion, eighty-three billion, three hundred eighteen million, eight hundred thirty-five thousand, two hundred".