322103120000 has 160 divisors (see below), whose sum is σ = 802898162220. Its totient is φ = 128673792000.

The previous prime is 322103119999. The next prime is 322103120021. The reversal of 322103120000 is 21301223.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 85961548864 + 236141571136 = 293192^2 + 485944^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74957852 + ... + 74962148.

Almost surely, 2^322103120000 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 322103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401449081110).

322103120000 is an abundant number, since it is smaller than the sum of its proper divisors (480795042220).

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

322103120000 is an frugal number, since it uses more digits than its factorization.

322103120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 322103120000 its reverse (21301223), we get a palindrome (322124421223).

The spelling of 322103120000 in words is "three hundred twenty-two billion, one hundred three million, one hundred twenty thousand".