12304440321 has 32 divisors (see below), whose sum is σ = 17004859008. Its totient is φ = 7910369280.

The previous prime is 12304440293. The next prime is 12304440347.

12304440321 is nontrivially palindromic in base 10.

12304440321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-12304440321 is a prime.

It is a super-2 number, since 2×12304440321² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12304440291 and 12304440300.

It is not an unprimeable number, because it can be changed into a prime (12304442321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2007141 + ... + 2013261.

It is an arithmetic number, because the mean of its divisors is an integer number (531401844).

Almost surely, 2^12304440321 is an apocalyptic number.

It is an amenable number.

12304440321 is a deficient number, since it is larger than the sum of its proper divisors (4700418687).

12304440321 is a wasteful number, since it uses less digits than its factorization.

12304440321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 12304440321 in words is "twelve billion, three hundred four million, four hundred forty thousand, three hundred twenty-one".