113123002122 has 96 divisors (see below), whose sum is σ = 267999129216. Its totient is φ = 34277385600.

The previous prime is 113123002099. The next prime is 113123002127. The reversal of 113123002122 is 221200321311.

113123002122 is a `hidden beast` number, since 11 + 312 + 300 + 21 + 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 = 113123002095 and 113123002104.

It is not an unprimeable number, because it can be changed into a prime (113123002127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4349497 + ... + 4375427.

It is an arithmetic number, because the mean of its divisors is an integer number (2791657596).

Almost surely, 2^113123002122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113123002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133999564608).

113123002122 is an abundant number, since it is smaller than the sum of its proper divisors (154876127094).

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

113123002122 is a wasteful number, since it uses less digits than its factorization.

113123002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26236 (or 26233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113123002122 its reverse (221200321311), we get a palindrome (334323323433).

The spelling of 113123002122 in words is "one hundred thirteen billion, one hundred twenty-three million, two thousand, one hundred twenty-two".