12330011220320 has 48 divisors (see below), whose sum is σ = 29135286735408. Its totient is φ = 4931050375680.

The previous prime is 12330011220311. The next prime is 12330011220347. The reversal of 12330011220320 is 2302211003321.

12330011220320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12330011220320³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12330011220292 and 12330011220301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6624059 + ... + 8278778.

It is an arithmetic number, because the mean of its divisors is an integer number (606985140321).

Almost surely, 2^{12330011220320} is an apocalyptic number.

12330011220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330011220320 is an abundant number, since it is smaller than the sum of its proper divisors (16805275515088).

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

12330011220320 is a wasteful number, since it uses less digits than its factorization.

12330011220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908023 (or 14908015 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12330011220320 its reverse (2302211003321), we get a palindrome (14632222223641).

The spelling of 12330011220320 in words is "twelve trillion, three hundred thirty billion, eleven million, two hundred twenty thousand, three hundred twenty".