112191807960 has 192 divisors, whose sum is σ = 374346161280. Its totient is φ = 29123297280.

The previous prime is 112191807947. The next prime is 112191807977. The reversal of 112191807960 is 69708191211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6825672 + ... + 6842088.

It is an arithmetic number, because the mean of its divisors is an integer number (1949719590).

Almost surely, 2^112191807960 is an apocalyptic number.

112191807960 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 112191807960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187173080640).

112191807960 is an abundant number, since it is smaller than the sum of its proper divisors (262154353320).

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

112191807960 is a wasteful number, since it uses less digits than its factorization.

112191807960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16938 (or 16931 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 45.

The spelling of 112191807960 in words is "one hundred twelve billion, one hundred ninety-one million, eight hundred seven thousand, nine hundred sixty".