123122001322320 has 1280 divisors, whose sum is σ = 533525980151808. Its totient is φ = 22662663045120.

The previous prime is 123122001322301. The next prime is 123122001322321. The reversal of 123122001322320 is 23223100221321.

123122001322320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123122001322320² (a number of 29 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 not an unprimeable number, because it can be changed into a prime (123122001322321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 648793369 + ... + 648983111.

Almost surely, 2^{123122001322320} is an apocalyptic number.

123122001322320 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 123122001322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266762990075904).

123122001322320 is an abundant number, since it is smaller than the sum of its proper divisors (410403978829488).

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

123122001322320 is a wasteful number, since it uses less digits than its factorization.

123122001322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189900 (or 189894 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123122001322320 its reverse (23223100221321), we get a palindrome (146345101543641).

It can be divided in two parts, 123122001 and 322320, that added together give a palindrome (123444321).

The spelling of 123122001322320 in words is "one hundred twenty-three trillion, one hundred twenty-two billion, one million, three hundred twenty-two thousand, three hundred twenty".