112617859200 has 768 divisors, whose sum is σ = 469024266240. Its totient is φ = 23069491200.

The previous prime is 112617859181. The next prime is 112617859213. The reversal of 112617859200 is 2958716211.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 53960557 + ... + 53962643.

It is an arithmetic number, because the mean of its divisors is an integer number (610708680).

Almost surely, 2^112617859200 is an apocalyptic number.

112617859200 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 112617859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234512133120).

112617859200 is an abundant number, since it is smaller than the sum of its proper divisors (356406407040).

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

112617859200 is a wasteful number, since it uses less digits than its factorization.

112617859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 112617859200 in words is "one hundred twelve billion, six hundred seventeen million, eight hundred fifty-nine thousand, two hundred".