112706313617220 has 96 divisors (see below), whose sum is σ = 318840275255040. Its totient is φ = 29744551257600.

The previous prime is 112706313617153. The next prime is 112706313617221. The reversal of 112706313617220 is 22716313607211.

It is not an unprimeable number, because it can be changed into a prime (112706313617221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9965169 + ... + 18019911.

It is an arithmetic number, because the mean of its divisors is an integer number (3321252867240).

Almost surely, 2^{112706313617220} is an apocalyptic number.

112706313617220 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 112706313617220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159420137627520).

112706313617220 is an abundant number, since it is smaller than the sum of its proper divisors (206133961637820).

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

112706313617220 is a wasteful number, since it uses less digits than its factorization.

112706313617220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057165 (or 8057163 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 112706313617220 in words is "one hundred twelve trillion, seven hundred six billion, three hundred thirteen million, six hundred seventeen thousand, two hundred twenty".