330133121012120 has 128 divisors (see below), whose sum is σ = 768931093117440. Its totient is φ = 127432243077120.

The previous prime is 330133121012113. The next prime is 330133121012141. The reversal of 330133121012120 is 21210121331033.

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, 644619674 + ... + 645131606.

It is an arithmetic number, because the mean of its divisors is an integer number (6007274164980).

Almost surely, 2^{330133121012120} 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 330133121012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384465546558720).

330133121012120 is an abundant number, since it is smaller than the sum of its proper divisors (438797972105320).

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

330133121012120 is a wasteful number, since it uses less digits than its factorization.

330133121012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513445 (or 513441 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 330133121012120 its reverse (21210121331033), we get a palindrome (351343242343153).

The spelling of 330133121012120 in words is "three hundred thirty trillion, one hundred thirty-three billion, one hundred twenty-one million, twelve thousand, one hundred twenty".