112120110022122 has 80 divisors (see below), whose sum is σ = 260048804316840. Its totient is φ = 36063316533888.

The previous prime is 112120110022097. The next prime is 112120110022139. The reversal of 112120110022122 is 221220011021211.

112120110022122 is a `hidden beast` number, since 1 + 121 + 201 + 100 + 221 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82092460919121 + 30027649103001 = 9060489^2 + 5479749^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112120110022095 and 112120110022104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 905428 + ... + 15002000.

Almost surely, 2^{112120110022122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120110022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130024402158420).

112120110022122 is an abundant number, since it is smaller than the sum of its proper divisors (147928694294718).

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

112120110022122 is a wasteful number, since it uses less digits than its factorization.

112120110022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098309 (or 14098300 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112120110022122 its reverse (221220011021211), we get a palindrome (333340121043333).

The spelling of 112120110022122 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred ten million, twenty-two thousand, one hundred twenty-two".