322003120 has 80 divisors (see below), whose sum is σ = 806332320. Its totient is φ = 119140352.

The previous prime is 322003093. The next prime is 322003133. The reversal of 322003120 is 21300223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 322003120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78234 + ... + 82246.

It is an arithmetic number, because the mean of its divisors is an integer number (10079154).

Almost surely, 2^322003120 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 322003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403166160).

322003120 is an abundant number, since it is smaller than the sum of its proper divisors (484329200).

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

322003120 is a wasteful number, since it uses less digits than its factorization.

322003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 322003120 is about 17944.4453801169. The cubic root of 322003120 is about 685.4146139304.

Adding to 322003120 its reverse (21300223), we get a palindrome (343303343).

The spelling of 322003120 in words is "three hundred twenty-two million, three thousand, one hundred twenty".