321221330120 has 128 divisors (see below), whose sum is σ = 773602552800. Its totient is φ = 119616307200.

The previous prime is 321221330093. The next prime is 321221330161. The reversal of 321221330120 is 21033122123.

It can be written as a sum of positive squares in 16 ways, for example, as 216852274276 + 104369055844 = 465674^2 + 323062^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 321221330092 and 321221330101.

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, 47507540 + ... + 47514300.

Almost surely, 2^321221330120 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 321221330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386801276400).

321221330120 is an abundant number, since it is smaller than the sum of its proper divisors (452381222680).

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

321221330120 is a wasteful number, since it uses less digits than its factorization.

321221330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 321221330120 its reverse (21033122123), we get a palindrome (342254452243).

The spelling of 321221330120 in words is "three hundred twenty-one billion, two hundred twenty-one million, three hundred thirty thousand, one hundred twenty".