322201023323120 has 320 divisors, whose sum is σ = 786990080839680. Its totient is φ = 122522891673600.

The previous prime is 322201023323111. The next prime is 322201023323209. The reversal of 322201023323120 is 21323320102223.

It is a self number, because there is not a number n which added to its sum of digits gives 322201023323120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131029288451 + ... + 131029290909.

It is an arithmetic number, because the mean of its divisors is an integer number (2459344002624).

Almost surely, 2^{322201023323120} 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 322201023323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393495040419840).

322201023323120 is an abundant number, since it is smaller than the sum of its proper divisors (464789057516560).

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

322201023323120 is a wasteful number, since it uses less digits than its factorization.

322201023323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 322201023323120 its reverse (21323320102223), we get a palindrome (343524343425343).

The spelling of 322201023323120 in words is "three hundred twenty-two trillion, two hundred one billion, twenty-three million, three hundred twenty-three thousand, one hundred twenty".