321330330120 has 256 divisors, whose sum is σ = 1013248051200. Its totient is φ = 81424465920.

The previous prime is 321330330053. The next prime is 321330330133. The reversal of 321330330120 is 21033033123.

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 63 ways as a sum of consecutive naturals, for example, 45815734 + ... + 45822746.

It is an arithmetic number, because the mean of its divisors is an integer number (3958000200).

Almost surely, 2^321330330120 is an apocalyptic number.

321330330120 is a gapful number since it is divisible by the number (30) 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 321330330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506624025600).

321330330120 is an abundant number, since it is smaller than the sum of its proper divisors (691917721080).

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

321330330120 is a wasteful number, since it uses less digits than its factorization.

321330330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 321330330120 its reverse (21033033123), we get a palindrome (342363363243).

It can be divided in two parts, 3213303 and 30120, that added together give a palindrome (3243423).

The spelling of 321330330120 in words is "three hundred twenty-one billion, three hundred thirty million, three hundred thirty thousand, one hundred twenty".