122321031120 has 80 divisors (see below), whose sum is σ = 421328003520. Its totient is φ = 32618941056.

The previous prime is 122321031109. The next prime is 122321031127. The reversal of 122321031120 is 21130123221.

122321031120 is a `hidden beast` number, since 12 + 2 + 321 + 0 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122321031093 and 122321031102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321031127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28312894 + ... + 28317213.

It is an arithmetic number, because the mean of its divisors is an integer number (5266600044).

Almost surely, 2^122321031120 is an apocalyptic number.

122321031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122321031120 is an abundant number, since it is smaller than the sum of its proper divisors (299006972400).

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

122321031120 is a wasteful number, since it uses less digits than its factorization.

122321031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56630129 (or 56630117 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122321031120 its reverse (21130123221), we get a palindrome (143451154341).

The spelling of 122321031120 in words is "one hundred twenty-two billion, three hundred twenty-one million, thirty-one thousand, one hundred twenty".