122242431104 has 64 divisors (see below), whose sum is σ = 245157206040. Its totient is φ = 60713435136.

The previous prime is 122242431071. The next prime is 122242431119. The reversal of 122242431104 is 401134242221.

It can be written as a sum of positive squares in 4 ways, for example, as 94101697600 + 28140733504 = 306760^2 + 167752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37576742 + ... + 37579994.

Almost surely, 2^122242431104 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 122242431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122578603020).

122242431104 is an abundant number, since it is smaller than the sum of its proper divisors (122914774936).

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

122242431104 is a wasteful number, since it uses less digits than its factorization.

122242431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5137 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 122242431104 its reverse (401134242221), we get a palindrome (523376673325).

The spelling of 122242431104 in words is "one hundred twenty-two billion, two hundred forty-two million, four hundred thirty-one thousand, one hundred four".