122131330320 has 240 divisors, whose sum is σ = 396998965440. Its totient is φ = 31056774144.

The previous prime is 122131330309. The next prime is 122131330327. The reversal of 122131330320 is 23033131221.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (122131330327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47354791 + ... + 47357369.

It is an arithmetic number, because the mean of its divisors is an integer number (1654162356).

Almost surely, 2^122131330320 is an apocalyptic number.

122131330320 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 122131330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198499482720).

122131330320 is an abundant number, since it is smaller than the sum of its proper divisors (274867635120).

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

122131330320 is a wasteful number, since it uses less digits than its factorization.

122131330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122131330320 its reverse (23033131221), we get a palindrome (145164461541).

The spelling of 122131330320 in words is "one hundred twenty-two billion, one hundred thirty-one million, three hundred thirty thousand, three hundred twenty".