320221333020 has 192 divisors, whose sum is σ = 939818557440. Its totient is φ = 81366297600.

The previous prime is 320221333009. The next prime is 320221333021. The reversal of 320221333020 is 20333122023.

It is a super-2 number, since 2×320221333020² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320221333021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 162300754 + ... + 162302726.

It is an arithmetic number, because the mean of its divisors is an integer number (4894888320).

Almost surely, 2^320221333020 is an apocalyptic number.

320221333020 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 320221333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469909278720).

320221333020 is an abundant number, since it is smaller than the sum of its proper divisors (619597224420).

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

320221333020 is a wasteful number, since it uses less digits than its factorization.

320221333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 320221333020 its reverse (20333122023), we get a palindrome (340554455043).

The spelling of 320221333020 in words is "three hundred twenty billion, two hundred twenty-one million, three hundred thirty-three thousand, twenty".