122912384720 has 90 divisors (see below), whose sum is σ = 301749766578. Its totient is φ = 46554747264.

The previous prime is 122912384689. The next prime is 122912384723. The reversal of 122912384720 is 27483219221.

It can be written as a sum of positive squares in only one way, i.e., 98329907776 + 24582476944 = 313576^2 + 156788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122912384723) 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 17 ways as a sum of consecutive naturals, for example, 59578409 + ... + 59580471.

Almost surely, 2^122912384720 is an apocalyptic number.

122912384720 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 122912384720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150874883289).

122912384720 is an abundant number, since it is smaller than the sum of its proper divisors (178837381858).

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

122912384720 is an frugal number, since it uses more digits than its factorization.

122912384720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 122912384720 in words is "one hundred twenty-two billion, nine hundred twelve million, three hundred eighty-four thousand, seven hundred twenty".