12401292401 has 2 divisors, whose sum is σ = 12401292402. Its totient is φ = 12401292400.

The previous prime is 12401292269. The next prime is 12401292433. The reversal of 12401292401 is 10429210421.

12401292401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12383238400 + 18054001 = 111280^2 + 4249^2 .

It is a cyclic number.

It is not a de Polignac number, because 12401292401 - 2¹⁰ = 12401291377 is a prime.

It is not a weakly prime, because it can be changed into another prime (12401292601) 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 as a sum of consecutive naturals, namely, 6200646200 + 6200646201.

It is an arithmetic number, because the mean of its divisors is an integer number (6200646201).

Almost surely, 2^12401292401 is an apocalyptic number.

It is an amenable number.

12401292401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12401292401 is an equidigital number, since it uses as much as digits as its factorization.

12401292401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12401292401 in words is "twelve billion, four hundred one million, two hundred ninety-two thousand, four hundred one".