112826122816 has 105 divisors (see below), whose sum is σ = 246988518595. Its totient is φ = 51136807040.

The previous prime is 112826122813. The next prime is 112826122817. The reversal of 112826122816 is 618221628211.

The square root of 112826122816 is 335896.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×112826122816² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112826122813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 325147155 + ... + 325147501.

Almost surely, 2^112826122816 is an apocalyptic number.

112826122816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112826122816 is the 335896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112826122816

112826122816 is an abundant number, since it is smaller than the sum of its proper divisors (134162395779).

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

112826122816 is an frugal number, since it uses more digits than its factorization.

112826122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 360 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The spelling of 112826122816 in words is "one hundred twelve billion, eight hundred twenty-six million, one hundred twenty-two thousand, eight hundred sixteen".