12300400321 has 6 divisors (see below), whose sum is σ = 13520274866. Its totient is φ = 11182182000.

The previous prime is 12300400309. The next prime is 12300400331.

It is a happy number.

12300400321 is nontrivially palindromic in base 10.

12300400321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10141497025 + 2158903296 = 100705^2 + 46464^2 .

It is not a de Polignac number, because 12300400321 - 2¹³ = 12300392129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12300400295 and 12300400304.

It is not an unprimeable number, because it can be changed into a prime (12300400331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50827980 + ... + 50828221.

Almost surely, 2^12300400321 is an apocalyptic number.

12300400321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300400321 is a deficient number, since it is larger than the sum of its proper divisors (1219874545).

12300400321 is a wasteful number, since it uses less digits than its factorization.

12300400321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101656223 (or 101656212 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The spelling of 12300400321 in words is "twelve billion, three hundred million, four hundred thousand, three hundred twenty-one".