122431320 has 192 divisors, whose sum is σ = 444787200. Its totient is φ = 28949760.

The previous prime is 122431303. The next prime is 122431321. The reversal of 122431320 is 23134221.

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 = 122431293 and 122431302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122431321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169921 + ... + 170639.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2^122431320 is an apocalyptic number.

122431320 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 122431320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

122431320 is an abundant number, since it is smaller than the sum of its proper divisors (322355880).

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

122431320 is a wasteful number, since it uses less digits than its factorization.

122431320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122431320 is about 11064.8687294518. The cubic root of 122431320 is about 496.5513618093.

Adding to 122431320 its reverse (23134221), we get a palindrome (145565541).

The spelling of 122431320 in words is "one hundred twenty-two million, four hundred thirty-one thousand, three hundred twenty".