112919751199080 has 1536 divisors, whose sum is σ = 462922656768000. Its totient is φ = 23314732277760.

The previous prime is 112919751199009. The next prime is 112919751199097. The reversal of 112919751199080 is 80991157919211.

112919751199080 is a `hidden beast` number, since 1 + 1 + 29 + 1 + 9 + 7 + 511 + 9 + 90 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 112919751198999 and 112919751199017.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8969709426 + ... + 8969722014.

It is an arithmetic number, because the mean of its divisors is an integer number (301381938000).

Almost surely, 2^{112919751199080} is an apocalyptic number.

112919751199080 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 112919751199080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231461328384000).

112919751199080 is an abundant number, since it is smaller than the sum of its proper divisors (350002905568920).

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

112919751199080 is a wasteful number, since it uses less digits than its factorization.

112919751199080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12799 (or 12792 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 63.

The spelling of 112919751199080 in words is "one hundred twelve trillion, nine hundred nineteen billion, seven hundred fifty-one million, one hundred ninety-nine thousand, eighty".