122433020320 has 96 divisors (see below), whose sum is σ = 312348572928. Its totient is φ = 45082579968.

The previous prime is 122433020317. The next prime is 122433020351. The reversal of 122433020320 is 23020334221.

122433020320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×122433020320³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122433020291 and 122433020300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683167 + ... + 843553.

It is an arithmetic number, because the mean of its divisors is an integer number (3253630968).

Almost surely, 2^122433020320 is an apocalyptic number.

122433020320 is a gapful number since it is divisible by the number (10) 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 122433020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156174286464).

122433020320 is an abundant number, since it is smaller than the sum of its proper divisors (189915552608).

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

122433020320 is a wasteful number, since it uses less digits than its factorization.

122433020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160782 (or 160774 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 122433020320 its reverse (23020334221), we get a palindrome (145453354541).

The spelling of 122433020320 in words is "one hundred twenty-two billion, four hundred thirty-three million, twenty thousand, three hundred twenty".