112000112122112 has 72 divisors (see below), whose sum is σ = 236812413413016. Its totient is φ = 52683905171456.

The previous prime is 112000112122091. The next prime is 112000112122121. The reversal of 112000112122112 is 211221211000211.

It can be written as a sum of positive squares in 4 ways, for example, as 25109078722816 + 86891033399296 = 5010896^2 + 9321536^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5037128 + ... + 15791544.

It is an arithmetic number, because the mean of its divisors is an integer number (3289061297403).

Almost surely, 2^{112000112122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118406206706508).

112000112122112 is an abundant number, since it is smaller than the sum of its proper divisors (124812301290904).

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

112000112122112 is a wasteful number, since it uses less digits than its factorization.

112000112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756843 (or 10756829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112000112122112 its reverse (211221211000211), we get a palindrome (323221323122323).

The spelling of 112000112122112 in words is "one hundred twelve trillion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".