330304133120 has 192 divisors, whose sum is σ = 854925140160. Its totient is φ = 121755009024.

The previous prime is 330304133099. The next prime is 330304133123. The reversal of 330304133120 is 21331403033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330304133123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96776534 + ... + 96779946.

It is an arithmetic number, because the mean of its divisors is an integer number (4452735105).

Almost surely, 2^330304133120 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 330304133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427462570080).

330304133120 is an abundant number, since it is smaller than the sum of its proper divisors (524621007040).

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

330304133120 is a wasteful number, since it uses less digits than its factorization.

330304133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 330304133120 its reverse (21331403033), we get a palindrome (351635536153).

The spelling of 330304133120 in words is "three hundred thirty billion, three hundred four million, one hundred thirty-three thousand, one hundred twenty".