112115404800 has 780 divisors, whose sum is σ = 474876960096. Its totient is φ = 25613107200.

The previous prime is 112115404783. The next prime is 112115404823. The reversal of 112115404800 is 8404511211.

It is a happy number.

112115404800 is a `hidden beast` number, since 11 + 21 + 154 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 58059835 + ... + 58061765.

Almost surely, 2^112115404800 is an apocalyptic number.

112115404800 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 112115404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237438480048).

112115404800 is an abundant number, since it is smaller than the sum of its proper divisors (362761555296).

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

112115404800 is an equidigital number, since it uses as much as digits as its factorization.

112115404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 112115404800 in words is "one hundred twelve billion, one hundred fifteen million, four hundred four thousand, eight hundred".