122331313104 has 320 divisors, whose sum is σ = 429092536320. Its totient is φ = 28999618560.

The previous prime is 122331313087. The next prime is 122331313187. The reversal of 122331313104 is 401313133221.

It is a super-2 number, since 2×122331313104² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 4261969 + ... + 4290575.

It is an arithmetic number, because the mean of its divisors is an integer number (1340914176).

Almost surely, 2^122331313104 is an apocalyptic number.

122331313104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122331313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214546268160).

122331313104 is an abundant number, since it is smaller than the sum of its proper divisors (306761223216).

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

122331313104 is a wasteful number, since it uses less digits than its factorization.

122331313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28738 (or 28732 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122331313104 its reverse (401313133221), we get a palindrome (523644446325).

The spelling of 122331313104 in words is "one hundred twenty-two billion, three hundred thirty-one million, three hundred thirteen thousand, one hundred four".