22123432122 has 128 divisors (see below), whose sum is σ = 49874427648. Its totient is φ = 6540272640.

The previous prime is 22123432117. The next prime is 22123432141.

22123432122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22123432092 and 22123432101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79867848 + ... + 79868124.

It is an arithmetic number, because the mean of its divisors is an integer number (389643966).

Almost surely, 2^22123432122 is an apocalyptic number.

22123432122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123432122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24937213824).

22123432122 is an abundant number, since it is smaller than the sum of its proper divisors (27750995526).

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

22123432122 is a wasteful number, since it uses less digits than its factorization.

22123432122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 503 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The spelling of 22123432122 in words is "twenty-two billion, one hundred twenty-three million, four hundred thirty-two thousand, one hundred twenty-two".