322132232133120 has 320 divisors, whose sum is σ = 1090454488231680. Its totient is φ = 80844383059968.

The previous prime is 322132232133109. The next prime is 322132232133121. The reversal of 322132232133120 is 21331232231223.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (322132232133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2783350774 + ... + 2783466506.

It is an arithmetic number, because the mean of its divisors is an integer number (3407670275724).

Almost surely, 2^{322132232133120} is an apocalyptic number.

322132232133120 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 322132232133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545227244115840).

322132232133120 is an abundant number, since it is smaller than the sum of its proper divisors (768322256098560).

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

322132232133120 is a wasteful number, since it uses less digits than its factorization.

322132232133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137095 (or 137079 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 322132232133120 its reverse (21331232231223), we get a palindrome (343463464364343).

The spelling of 322132232133120 in words is "three hundred twenty-two trillion, one hundred thirty-two billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".