321120404020 has 96 divisors (see below), whose sum is σ = 751546202400. Its totient is φ = 114436675584.

The previous prime is 321120403897. The next prime is 321120404021. The reversal of 321120404020 is 20404021123.

It can be written as a sum of positive squares in 16 ways, for example, as 279109342864 + 42011061156 = 528308^2 + 204966^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321120404021) 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 31 ways as a sum of consecutive naturals, for example, 26150122 + ... + 26162398.

It is an arithmetic number, because the mean of its divisors is an integer number (7828606275).

Almost surely, 2^321120404020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321120404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375773101200).

321120404020 is an abundant number, since it is smaller than the sum of its proper divisors (430425798380).

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

321120404020 is a wasteful number, since it uses less digits than its factorization.

321120404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15797 (or 15795 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 321120404020 its reverse (20404021123), we get a palindrome (341524425143).

The spelling of 321120404020 in words is "three hundred twenty-one billion, one hundred twenty million, four hundred four thousand, twenty".