112196568960 has 512 divisors, whose sum is σ = 468793958400. Its totient is φ = 24816844800.

The previous prime is 112196568959. The next prime is 112196568971. The reversal of 112196568960 is 69865691211.

112196568960 is a `hidden beast` number, since 1 + 1 + 2 + 19 + 6 + 568 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112196568897 and 112196568906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3734800 + ... + 3764720.

It is an arithmetic number, because the mean of its divisors is an integer number (915613200).

Almost surely, 2^112196568960 is an apocalyptic number.

112196568960 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 112196568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234396979200).

112196568960 is an abundant number, since it is smaller than the sum of its proper divisors (356597389440).

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

112196568960 is a wasteful number, since it uses less digits than its factorization.

112196568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29987 (or 29969 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 112196568960 in words is "one hundred twelve billion, one hundred ninety-six million, five hundred sixty-eight thousand, nine hundred sixty".