12304000040321 has 16 divisors (see below), whose sum is σ = 13676155613568. Its totient is φ = 10974123763200.

The previous prime is 12304000040257. The next prime is 12304000040323.

12304000040321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12304000040321 - 2⁶ = 12304000040257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12304000040293 and 12304000040302.

It is not an unprimeable number, because it can be changed into a prime (12304000040323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24093980 + ... + 24599346.

It is an arithmetic number, because the mean of its divisors is an integer number (854759725848).

Almost surely, 2^{12304000040321} is an apocalyptic number.

12304000040321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12304000040321 is a deficient number, since it is larger than the sum of its proper divisors (1372155573247).

12304000040321 is a wasteful number, since it uses less digits than its factorization.

12304000040321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547192.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 123040000 and 40321, that added together give a palindrome (123080321).

The spelling of 12304000040321 in words is "twelve trillion, three hundred four billion, forty thousand, three hundred twenty-one".