112363822771200 has 8448 divisors, whose sum is σ = 603498853601280. Its totient is φ = 19704840192000.

The previous prime is 112363822771199. The next prime is 112363822771219. The reversal of 112363822771200 is 2177228363211.

112363822771200 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 638 + 2 + 2 + 7 + 7 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8448).

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 767 ways as a sum of consecutive naturals, for example, 482248166284 + ... + 482248166516.

Almost surely, 2^{112363822771200} is an apocalyptic number.

112363822771200 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 112363822771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301749426800640).

112363822771200 is an abundant number, since it is smaller than the sum of its proper divisors (491135030830080).

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

112363822771200 is a wasteful number, since it uses less digits than its factorization.

112363822771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 112363822771200 in words is "one hundred twelve trillion, three hundred sixty-three billion, eight hundred twenty-two million, seven hundred seventy-one thousand, two hundred".