322133120 has 64 divisors (see below), whose sum is σ = 778188600. Its totient is φ = 127500288.

The previous prime is 322133113. The next prime is 322133129. The reversal of 322133120 is 21331223.

It can be written as a sum of positive squares in 4 ways, for example, as 287370304 + 34762816 = 16952^2 + 5896^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (322133129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59486 + ... + 64674.

Almost surely, 2^322133120 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 322133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389094300).

322133120 is an abundant number, since it is smaller than the sum of its proper divisors (456055480).

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

322133120 is an equidigital number, since it uses as much as digits as its factorization.

322133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5293 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 322133120 is about 17948.0673054232. The cubic root of 322133120 is about 685.5068406884.

Adding to 322133120 its reverse (21331223), we get a palindrome (343464343).

The spelling of 322133120 in words is "three hundred twenty-two million, one hundred thirty-three thousand, one hundred twenty".