330120223312000 has 128 divisors (see below), whose sum is σ = 895376078887680. Its totient is φ = 120043717504000.

The previous prime is 330120223311997. The next prime is 330120223312057. The reversal of 330120223312000 is 213322021033.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 937665544 + ... + 938017543.

It is an arithmetic number, because the mean of its divisors is an integer number (6995125616310).

Almost surely, 2^{330120223312000} is an apocalyptic number.

It is an amenable number.

330120223312000 is an abundant number, since it is smaller than the sum of its proper divisors (565255855575680).

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

330120223312000 is a wasteful number, since it uses less digits than its factorization.

330120223312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875683127 (or 1875683105 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 330120223312000 its reverse (213322021033), we get a palindrome (330333545333033).

The spelling of 330120223312000 in words is "three hundred thirty trillion, one hundred twenty billion, two hundred twenty-three million, three hundred twelve thousand".