12300333300321 has 64 divisors (see below), whose sum is σ = 18694931639040. Its totient is φ = 7125148800000.

The previous prime is 12300333300289. The next prime is 12300333300347.

12300333300321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12300333300321 - 2⁵ = 12300333300289 is a prime.

It is a super-4 number, since 4×12300333300321⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12300333300291 and 12300333300300.

It is not an unprimeable number, because it can be changed into a prime (12300333300421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 956994531 + ... + 957007383.

It is an arithmetic number, because the mean of its divisors is an integer number (292108306860).

Almost surely, 2^{12300333300321} is an apocalyptic number.

12300333300321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300333300321 is a deficient number, since it is larger than the sum of its proper divisors (6394598338719).

12300333300321 is a wasteful number, since it uses less digits than its factorization.

12300333300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22898.

The product of its (nonzero) digits is 2916, while the sum is 24.

It can be divided in two parts, 1230033 and 3300321, that added together give a palindrome (4530354).

The spelling of 12300333300321 in words is "twelve trillion, three hundred billion, three hundred thirty-three million, three hundred thousand, three hundred twenty-one".