112745160072220 has 192 divisors, whose sum is σ = 257331150397440. Its totient is φ = 41246288640000.

The previous prime is 112745160072217. The next prime is 112745160072227. The reversal of 112745160072220 is 22270061547211.

It is a super-2 number, since 2×112745160072220² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112745160072227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44335492269 + ... + 44335494811.

It is an arithmetic number, because the mean of its divisors is an integer number (1340266408320).

Almost surely, 2^{112745160072220} is an apocalyptic number.

112745160072220 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 112745160072220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128665575198720).

112745160072220 is an abundant number, since it is smaller than the sum of its proper divisors (144585990325220).

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

112745160072220 is a wasteful number, since it uses less digits than its factorization.

112745160072220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5196 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 112745160072220 in words is "one hundred twelve trillion, seven hundred forty-five billion, one hundred sixty million, seventy-two thousand, two hundred twenty".