330322220200000 has 504 divisors, whose sum is σ = 953401128438024. Its totient is φ = 113213399040000.

The previous prime is 330322220199977. The next prime is 330322220200031. The reversal of 330322220200000 is 2022223033.

It can be written as a sum of positive squares in 12 ways, for example, as 252383551189056 + 77938669010944 = 15886584^2 + 8828288^2 .

It is a super-2 number, since 2×330322220200000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45795396394 + ... + 45795403606.

It is an arithmetic number, because the mean of its divisors is an integer number (1891668905631).

Almost surely, 2^{330322220200000} 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 330322220200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476700564219012).

330322220200000 is an abundant number, since it is smaller than the sum of its proper divisors (623078908238024).

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

330322220200000 is an frugal number, since it uses more digits than its factorization.

330322220200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11900 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 330322220200000 its reverse (2022223033), we get a palindrome (330324242423033).

The spelling of 330322220200000 in words is "three hundred thirty trillion, three hundred twenty-two billion, two hundred twenty million, two hundred thousand".