12358972256401 has 2 divisors, whose sum is σ = 12358972256402. Its totient is φ = 12358972256400.

The previous prime is 12358972256353. The next prime is 12358972256447. The reversal of 12358972256401 is 10465227985321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9014261645376 + 3344710611025 = 3002376^2 + 1828855^2 .

It is a cyclic number.

It is not a de Polignac number, because 12358972256401 - 2⁷ = 12358972256273 is a prime.

It is not a weakly prime, because it can be changed into another prime (12358972256801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6179486128200 + 6179486128201.

It is an arithmetic number, because the mean of its divisors is an integer number (6179486128201).

It is a 1-persistent number, because it is pandigital, but 2⋅12358972256401 = 24717944512802 is not.

Almost surely, 2^{12358972256401} is an apocalyptic number.

It is an amenable number.

12358972256401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12358972256401 is an equidigital number, since it uses as much as digits as its factorization.

12358972256401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 12358972256401 in words is "twelve trillion, three hundred fifty-eight billion, nine hundred seventy-two million, two hundred fifty-six thousand, four hundred one".