322221321120000 has 720 divisors, whose sum is σ = 1135029745967040. Its totient is φ = 80845406208000.

The previous prime is 322221321119963. The next prime is 322221321120019. The reversal of 322221321120000 is 21123122223.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47156636584 + ... + 47156643416.

It is an arithmetic number, because the mean of its divisors is an integer number (1576430202732).

Almost surely, 2^{322221321120000} is an apocalyptic number.

322221321120000 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 322221321120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567514872983520).

322221321120000 is an abundant number, since it is smaller than the sum of its proper divisors (812808424847040).

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

322221321120000 is an equidigital number, since it uses as much as digits as its factorization.

322221321120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12668 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 322221321120000 its reverse (21123122223), we get a palindrome (322242444242223).

The spelling of 322221321120000 in words is "three hundred twenty-two trillion, two hundred twenty-one billion, three hundred twenty-one million, one hundred twenty thousand".