12304211240321 has 48 divisors (see below), whose sum is σ = 16658346832512. Its totient is φ = 8843348067840.

The previous prime is 12304211240303. The next prime is 12304211240359.

It is a happy number.

12304211240321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12304211240321 - 2³⁰ = 12303137498497 is a prime.

It is a super-2 number, since 2×12304211240321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12304211240521) 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 47 ways as a sum of consecutive naturals, for example, 13850486 + ... + 14712048.

It is an arithmetic number, because the mean of its divisors is an integer number (347048892344).

Almost surely, 2^{12304211240321} is an apocalyptic number.

12304211240321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12304211240321 is a deficient number, since it is larger than the sum of its proper divisors (4354135592191).

12304211240321 is a wasteful number, since it uses less digits than its factorization.

12304211240321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862902 (or 862891 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 1230421 and 1240321, that added together give a palindrome (2470742).

The spelling of 12304211240321 in words is "twelve trillion, three hundred four billion, two hundred eleven million, two hundred forty thousand, three hundred twenty-one".