112799808000 has 960 divisors, whose sum is σ = 467043857280. Its totient is φ = 25878528000.

The previous prime is 112799807987. The next prime is 112799808013. The reversal of 112799808000 is 808997211.

112799808000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112799807987) and next prime (112799808013).

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 120383532 + ... + 120384468.

It is an arithmetic number, because the mean of its divisors is an integer number (486504018).

Almost surely, 2^112799808000 is an apocalyptic number.

112799808000 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 112799808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233521928640).

112799808000 is an abundant number, since it is smaller than the sum of its proper divisors (354244049280).

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

112799808000 is a wasteful number, since it uses less digits than its factorization.

112799808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 112799808000 in words is "one hundred twelve billion, seven hundred ninety-nine million, eight hundred eight thousand".