321213120320 has 112 divisors (see below), whose sum is σ = 803044368000. Its totient is φ = 122144495616.

The previous prime is 321213120307. The next prime is 321213120337. The reversal of 321213120320 is 23021312123.

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 = 321213120292 and 321213120301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1065806 + ... + 1333554.

It is an arithmetic number, because the mean of its divisors is an integer number (7170039000).

Almost surely, 2^321213120320 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 321213120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401522184000).

321213120320 is an abundant number, since it is smaller than the sum of its proper divisors (481831247680).

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

321213120320 is a wasteful number, since it uses less digits than its factorization.

321213120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267952 (or 267942 counting only the distinct ones).

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

Adding to 321213120320 its reverse (23021312123), we get a palindrome (344234432443).

The spelling of 321213120320 in words is "three hundred twenty-one billion, two hundred thirteen million, one hundred twenty thousand, three hundred twenty".