112099940356992 has 256 divisors, whose sum is σ = 355626958187520. Its totient is φ = 30590475632640.

The previous prime is 112099940356949. The next prime is 112099940357003. The reversal of 112099940356992 is 299653049990211.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40260442 + ... + 42954662.

It is an arithmetic number, because the mean of its divisors is an integer number (1389167805420).

Almost surely, 2^{112099940356992} is an apocalyptic number.

112099940356992 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 112099940356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177813479093760).

112099940356992 is an abundant number, since it is smaller than the sum of its proper divisors (243527017830528).

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

112099940356992 is a wasteful number, since it uses less digits than its factorization.

112099940356992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694941 (or 2694929 counting only the distinct ones).

The product of its (nonzero) digits is 85030560, while the sum is 69.

The spelling of 112099940356992 in words is "one hundred twelve trillion, ninety-nine billion, nine hundred forty million, three hundred fifty-six thousand, nine hundred ninety-two".