112172083200 has 576 divisors, whose sum is σ = 420076238400. Its totient is φ = 29328998400.

The previous prime is 112172083189. The next prime is 112172083237. The reversal of 112172083200 is 2380271211.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73266435 + ... + 73267965.

It is an arithmetic number, because the mean of its divisors is an integer number (729299025).

Almost surely, 2^112172083200 is an apocalyptic number.

112172083200 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 112172083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210038119200).

112172083200 is an abundant number, since it is smaller than the sum of its proper divisors (307904155200).

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

112172083200 is a wasteful number, since it uses less digits than its factorization.

112172083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 112172083200 in words is "one hundred twelve billion, one hundred seventy-two million, eighty-three thousand, two hundred".