112004113122 has 128 divisors (see below), whose sum is σ = 278665021440. Its totient is φ = 33059016000.

The previous prime is 112004113103. The next prime is 112004113181. The reversal of 112004113122 is 221311400211.

112004113122 is a `hidden beast` number, since 1 + 1 + 200 + 411 + 31 + 22 = 666.

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 = 112004113095 and 112004113104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3717097 + ... + 3747107.

It is an arithmetic number, because the mean of its divisors is an integer number (2177070480).

Almost surely, 2^112004113122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112004113122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139332510720).

112004113122 is an abundant number, since it is smaller than the sum of its proper divisors (166660908318).

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

112004113122 is a wasteful number, since it uses less digits than its factorization.

112004113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30197 (or 30191 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112004113122 its reverse (221311400211), we get a palindrome (333315513333).

The spelling of 112004113122 in words is "one hundred twelve billion, four million, one hundred thirteen thousand, one hundred twenty-two".