322005132320 has 96 divisors (see below), whose sum is σ = 772938101376. Its totient is φ = 126752256000.

The previous prime is 322005132271. The next prime is 322005132347. The reversal of 322005132320 is 23231500223.

It is a super-3 number, since 3×322005132320³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2522840 + ... + 2647400.

It is an arithmetic number, because the mean of its divisors is an integer number (8051438556).

Almost surely, 2^322005132320 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 322005132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386469050688).

322005132320 is an abundant number, since it is smaller than the sum of its proper divisors (450932969056).

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

322005132320 is a wasteful number, since it uses less digits than its factorization.

322005132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124834 (or 124826 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 322005132320 its reverse (23231500223), we get a palindrome (345236632543).

The spelling of 322005132320 in words is "three hundred twenty-two billion, five million, one hundred thirty-two thousand, three hundred twenty".