320221010020000 has 240 divisors, whose sum is σ = 799822904392512. Its totient is φ = 126133539840000.

The previous prime is 320221010019983. The next prime is 320221010020001. The reversal of 320221010020000 is 20010122023.

It is a super-3 number, since 3×320221010020000³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (320221010020001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4074900709 + ... + 4074979291.

Almost surely, 2^{320221010020000} 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 320221010020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399911452196256).

320221010020000 is an abundant number, since it is smaller than the sum of its proper divisors (479601894372512).

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

320221010020000 is an equidigital number, since it uses as much as digits as its factorization.

320221010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81721 (or 81698 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 320221010020000 its reverse (20010122023), we get a palindrome (320241020142023).

The spelling of 320221010020000 in words is "three hundred twenty trillion, two hundred twenty-one billion, ten million, twenty thousand".