112717680192 has 896 divisors, whose sum is σ = 405186001920. Its totient is φ = 30364139520.

The previous prime is 112717680191. The next prime is 112717680239. The reversal of 112717680192 is 291086717211.

It is a happy number.

112717680192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (112717680191) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 360120228 + ... + 360120540.

It is an arithmetic number, because the mean of its divisors is an integer number (452216520).

Almost surely, 2^112717680192 is an apocalyptic number.

112717680192 is a gapful number since it is divisible by the number (12) 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 112717680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202593000960).

112717680192 is an abundant number, since it is smaller than the sum of its proper divisors (292468321728).

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

112717680192 is a wasteful number, since it uses less digits than its factorization.

112717680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 112717680192 in words is "one hundred twelve billion, seven hundred seventeen million, six hundred eighty thousand, one hundred ninety-two".