12266306114401 has 2 divisors, whose sum is σ = 12266306114402. Its totient is φ = 12266306114400.

The previous prime is 12266306114357. The next prime is 12266306114431. The reversal of 12266306114401 is 10441160366221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6211758675600 + 6054547438801 = 2492340^2 + 2460599^2 .

It is a cyclic number.

It is not a de Polignac number, because 12266306114401 - 2⁷ = 12266306114273 is a prime.

It is not a weakly prime, because it can be changed into another prime (12266306114431) 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 as a sum of consecutive naturals, namely, 6133153057200 + 6133153057201.

It is an arithmetic number, because the mean of its divisors is an integer number (6133153057201).

Almost surely, 2^{12266306114401} is an apocalyptic number.

It is an amenable number.

12266306114401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12266306114401 is an equidigital number, since it uses as much as digits as its factorization.

12266306114401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 12266306114401 in words is "twelve trillion, two hundred sixty-six billion, three hundred six million, one hundred fourteen thousand, four hundred one".