12305344350321 has 96 divisors (see below), whose sum is σ = 21113664743808. Its totient is φ = 6820338309120.

The previous prime is 12305344350283. The next prime is 12305344350329.

12305344350321 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 534 + 43 + 50 + 32 + 1 = 666.

12305344350321 is nontrivially palindromic in base 10.

12305344350321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12305344350321 - 2¹³ = 12305344342129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12305344350329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47008626 + ... + 47269668.

It is an arithmetic number, because the mean of its divisors is an integer number (219934007748).

Almost surely, 2^{12305344350321} is an apocalyptic number.

12305344350321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12305344350321 is a deficient number, since it is larger than the sum of its proper divisors (8808320393487).

12305344350321 is a wasteful number, since it uses less digits than its factorization.

12305344350321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261871 (or 261868 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

It can be divided in two parts, 1230534 and 4350321, that added together give a palindrome (5580855).

The spelling of 12305344350321 in words is "twelve trillion, three hundred five billion, three hundred forty-four million, three hundred fifty thousand, three hundred twenty-one".