330123101311120 has 80 divisors (see below), whose sum is σ = 845800189198272. Its totient is φ = 119056918095360.

The previous prime is 330123101311061. The next prime is 330123101311127. The reversal of 330123101311120 is 21113101321033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×330123101311120³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330123101311091 and 330123101311100.

It is not an unprimeable number, because it can be changed into a prime (330123101311127) 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, 3690955966 + ... + 3691045405.

Almost surely, 2^{330123101311120} is an apocalyptic number.

It is an amenable number.

330123101311120 is an abundant number, since it is smaller than the sum of its proper divisors (515677087887152).

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

330123101311120 is a wasteful number, since it uses less digits than its factorization.

330123101311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382001440 (or 7382001434 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 330123101311120 its reverse (21113101321033), we get a palindrome (351236202632153).

The spelling of 330123101311120 in words is "three hundred thirty trillion, one hundred twenty-three billion, one hundred one million, three hundred eleven thousand, one hundred twenty".