112017160000 has 140 divisors (see below), whose sum is σ = 292387406080. Its totient is φ = 42448320000.

The previous prime is 112017159977. The next prime is 112017160001. The reversal of 112017160000 is 61710211.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 112017160000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112017160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 686305 + ... + 833695.

It is an arithmetic number, because the mean of its divisors is an integer number (2088481472).

Almost surely, 2^112017160000 is an apocalyptic number.

112017160000 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 112017160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146193703040).

112017160000 is an abundant number, since it is smaller than the sum of its proper divisors (180370246080).

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

112017160000 is an equidigital number, since it uses as much as digits as its factorization.

112017160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147442 (or 147417 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 112017160000 its reverse (61710211), we get a palindrome (112078870211).

The spelling of 112017160000 in words is "one hundred twelve billion, seventeen million, one hundred sixty thousand".