122320132013120 has 56 divisors (see below), whose sum is σ = 291278221824408. Its totient is φ = 48927480422400.

The previous prime is 122320132013083. The next prime is 122320132013143. The reversal of 122320132013120 is 21310231023221.

122320132013120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 26294086706176 + 96026045306944 = 5127776^2 + 9799288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25705640 + ... + 30090200.

It is an arithmetic number, because the mean of its divisors is an integer number (5201396818293).

Almost surely, 2^{122320132013120} is an apocalyptic number.

122320132013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122320132013120 is an abundant number, since it is smaller than the sum of its proper divisors (168958089811288).

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

122320132013120 is an equidigital number, since it uses as much as digits as its factorization.

122320132013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471759 (or 4471749 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 122320132013120 its reverse (21310231023221), we get a palindrome (143630363036341).

The spelling of 122320132013120 in words is "one hundred twenty-two trillion, three hundred twenty billion, one hundred thirty-two million, thirteen thousand, one hundred twenty".