112933722886992 has 400 divisors, whose sum is σ = 389481907752960. Its totient is φ = 30908813193216.

The previous prime is 112933722886969. The next prime is 112933722887053. The reversal of 112933722886992 is 299688227339211.

112933722886992 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 337 + 2 + 288 + 6 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112933722886992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31722168 + ... + 35102184.

Almost surely, 2^{112933722886992} is an apocalyptic number.

112933722886992 is a gapful number since it is divisible by the number (12) 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 112933722886992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194740953876480).

112933722886992 is an abundant number, since it is smaller than the sum of its proper divisors (276548184865968).

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

112933722886992 is a wasteful number, since it uses less digits than its factorization.

112933722886992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380200 (or 3380185 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 112933722886992 in words is "one hundred twelve trillion, nine hundred thirty-three billion, seven hundred twenty-two million, eight hundred eighty-six thousand, nine hundred ninety-two".