320221000000 has 392 divisors, whose sum is σ = 887956759008. Its totient is φ = 113568000000.

The previous prime is 320220999949. The next prime is 320221000009. The reversal of 320221000000 is 122023.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320221000009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 472999662 + ... + 473000338.

Almost surely, 2^320221000000 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 320221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443978379504).

320221000000 is an abundant number, since it is smaller than the sum of its proper divisors (567735759008).

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

320221000000 is an frugal number, since it uses more digits than its factorization.

320221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 320221000000 its reverse (122023), we get a palindrome (320221122023).

The spelling of 320221000000 in words is "three hundred twenty billion, two hundred twenty-one million", and thus it is an aban number.