122331300320 has 192 divisors, whose sum is σ = 300811807296. Its totient is φ = 46974320640.

The previous prime is 122331300319. The next prime is 122331300353. The reversal of 122331300320 is 23003133221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122331300292 and 122331300301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180695822 + ... + 180696498.

It is an arithmetic number, because the mean of its divisors is an integer number (1566728163).

Almost surely, 2^122331300320 is an apocalyptic number.

122331300320 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 122331300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150405903648).

122331300320 is an abundant number, since it is smaller than the sum of its proper divisors (178480506976).

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

122331300320 is a wasteful number, since it uses less digits than its factorization.

122331300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 122331300320 its reverse (23003133221), we get a palindrome (145334433541).

The spelling of 122331300320 in words is "one hundred twenty-two billion, three hundred thirty-one million, three hundred thousand, three hundred twenty".