321120333120 has 224 divisors, whose sum is σ = 1088038268928. Its totient is φ = 79959785472.

The previous prime is 321120333119. The next prime is 321120333133. The reversal of 321120333120 is 21333021123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1995174 + ... + 2150106.

Almost surely, 2^321120333120 is an apocalyptic number.

321120333120 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 321120333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544019134464).

321120333120 is an abundant number, since it is smaller than the sum of its proper divisors (766917935808).

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

321120333120 is a wasteful number, since it uses less digits than its factorization.

321120333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155097 (or 155087 counting only the distinct ones).

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

Adding to 321120333120 its reverse (21333021123), we get a palindrome (342453354243).

The spelling of 321120333120 in words is "three hundred twenty-one billion, one hundred twenty million, three hundred thirty-three thousand, one hundred twenty".