12300422400321 has 16 divisors (see below), whose sum is σ = 18669415818240. Its totient is φ = 7130679651920.

The previous prime is 12300422400317. The next prime is 12300422400323.

It is a happy number.

12300422400321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12300422400321 - 2² = 12300422400317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12300422400291 and 12300422400300.

It is not an unprimeable number, because it can be changed into a prime (12300422400323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8103044301 + ... + 8103045818.

It is an arithmetic number, because the mean of its divisors is an integer number (1166838488640).

Almost surely, 2^{12300422400321} is an apocalyptic number.

12300422400321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300422400321 is a deficient number, since it is larger than the sum of its proper divisors (6368993417919).

12300422400321 is a wasteful number, since it uses less digits than its factorization.

12300422400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16206090156.

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

It can be divided in two parts, 1230042 and 2400321, that added together give a palindrome (3630363).

The spelling of 12300422400321 in words is "twelve trillion, three hundred billion, four hundred twenty-two million, four hundred thousand, three hundred twenty-one".