112400412960 has 192 divisors, whose sum is σ = 389668890240. Its totient is φ = 27007303680.

The previous prime is 112400412931. The next prime is 112400412979. The reversal of 112400412960 is 69214004211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502446 + ... + 690834.

It is an arithmetic number, because the mean of its divisors is an integer number (2029525470).

Almost surely, 2^112400412960 is an apocalyptic number.

112400412960 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 112400412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194834445120).

112400412960 is an abundant number, since it is smaller than the sum of its proper divisors (277268477280).

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

112400412960 is a wasteful number, since it uses less digits than its factorization.

112400412960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188531 (or 188523 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 112400412960 in words is "one hundred twelve billion, four hundred million, four hundred twelve thousand, nine hundred sixty".