12304444440321 has 96 divisors (see below), whose sum is σ = 20157300633600. Its totient is φ = 7165150876800.

The previous prime is 12304444440269. The next prime is 12304444440493.

12304444440321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12304444440321 - 2⁷ = 12304444440193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12304444441321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1457350326 + ... + 1457358768.

It is an arithmetic number, because the mean of its divisors is an integer number (209971881600).

Almost surely, 2^{12304444440321} is an apocalyptic number.

12304444440321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12304444440321 is a deficient number, since it is larger than the sum of its proper divisors (7852856193279).

12304444440321 is a wasteful number, since it uses less digits than its factorization.

12304444440321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11827 (or 11824 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 1230444 and 4440321, that added together give a palindrome (5670765).

The spelling of 12304444440321 in words is "twelve trillion, three hundred four billion, four hundred forty-four million, four hundred forty thousand, three hundred twenty-one".