330301000120 has 128 divisors (see below), whose sum is σ = 914874186240. Its totient is φ = 104512596480.

The previous prime is 330301000103. The next prime is 330301000189. The reversal of 330301000120 is 21000103033.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 330301000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29562135 + ... + 29573305.

It is an arithmetic number, because the mean of its divisors is an integer number (7147454580).

Almost surely, 2^330301000120 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 330301000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457437093120).

330301000120 is an abundant number, since it is smaller than the sum of its proper divisors (584573186120).

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

330301000120 is a wasteful number, since it uses less digits than its factorization.

330301000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325 (or 19321 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 330301000120 its reverse (21000103033), we get a palindrome (351301103153).

The spelling of 330301000120 in words is "three hundred thirty billion, three hundred one million, one hundred twenty", and thus it is an aban number.