112758220800 has 1152 divisors, whose sum is σ = 449689968000. Its totient is φ = 27948810240.

The previous prime is 112758220777. The next prime is 112758220849. The reversal of 112758220800 is 8022857211.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2127513574 + ... + 2127513626.

It is an arithmetic number, because the mean of its divisors is an integer number (390355875).

Almost surely, 2^112758220800 is an apocalyptic number.

112758220800 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 112758220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224844984000).

112758220800 is an abundant number, since it is smaller than the sum of its proper divisors (336931747200).

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

112758220800 is an frugal number, since it uses more digits than its factorization.

112758220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 112758220800 in words is "one hundred twelve billion, seven hundred fifty-eight million, two hundred twenty thousand, eight hundred".