112170938400 has 1008 divisors, whose sum is σ = 442636669440. Its totient is φ = 27657676800.

The previous prime is 112170938333. The next prime is 112170938413. The reversal of 112170938400 is 4839071211.

It is a happy number.

112170938400 is a `hidden beast` number, since 1 + 1 + 217 + 0 + 9 + 38 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 587282305 + ... + 587282495.

It is an arithmetic number, because the mean of its divisors is an integer number (439123680).

Almost surely, 2^112170938400 is an apocalyptic number.

112170938400 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 112170938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221318334720).

112170938400 is an abundant number, since it is smaller than the sum of its proper divisors (330465731040).

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

112170938400 is a wasteful number, since it uses less digits than its factorization.

112170938400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 112170938400 in words is "one hundred twelve billion, one hundred seventy million, nine hundred thirty-eight thousand, four hundred".