330120312114114 has 12 divisors (see below), whose sum is σ = 715260676247286. Its totient is φ = 110040104038032.

The previous prime is 330120312114113. The next prime is 330120312114179. The reversal of 330120312114114 is 411411213021033.

330120312114114 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 0 + 31 + 211 + 411 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 207905628858489 + 122214683255625 = 14418933^2 + 11055075^2 .

It is not an unprimeable number, because it can be changed into a prime (330120312114113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9170008669819 + ... + 9170008669854.

Almost surely, 2^{330120312114114} is an apocalyptic number.

330120312114114 is an abundant number, since it is smaller than the sum of its proper divisors (385140364133172).

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

330120312114114 is a wasteful number, since it uses less digits than its factorization.

330120312114114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340017339681 (or 18340017339678 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 330120312114114 its reverse (411411213021033), we get a palindrome (741531525135147).

The spelling of 330120312114114 in words is "three hundred thirty trillion, one hundred twenty billion, three hundred twelve million, one hundred fourteen thousand, one hundred fourteen".