12306122160321 has 64 divisors (see below), whose sum is σ = 18906671407104. Its totient is φ = 7051084684800.

The previous prime is 12306122160223. The next prime is 12306122160337.

12306122160321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12306122160321 - 2¹⁴ = 12306122143937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12306122160421) 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 63 ways as a sum of consecutive naturals, for example, 12145966 + ... + 13120088.

It is an arithmetic number, because the mean of its divisors is an integer number (295416740736).

Almost surely, 2^{12306122160321} is an apocalyptic number.

12306122160321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12306122160321 is a deficient number, since it is larger than the sum of its proper divisors (6600549246783).

12306122160321 is a wasteful number, since it uses less digits than its factorization.

12306122160321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974454.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 1230612 and 2160321, that added together give a palindrome (3390933).

The spelling of 12306122160321 in words is "twelve trillion, three hundred six billion, one hundred twenty-two million, one hundred sixty thousand, three hundred twenty-one".