12105605333761 has 2 divisors, whose sum is σ = 12105605333762. Its totient is φ = 12105605333760.

The previous prime is 12105605333747. The next prime is 12105605333863. The reversal of 12105605333761 is 16733350650121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11982224556225 + 123380777536 = 3461535^2 + 351256^2 .

It is a cyclic number.

It is not a de Polignac number, because 12105605333761 - 2¹¹ = 12105605331713 is a prime.

It is not a weakly prime, because it can be changed into another prime (12105605333711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6052802666880 + 6052802666881.

It is an arithmetic number, because the mean of its divisors is an integer number (6052802666881).

Almost surely, 2^{12105605333761} is an apocalyptic number.

It is an amenable number.

12105605333761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12105605333761 is an equidigital number, since it uses as much as digits as its factorization.

12105605333761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 340200, while the sum is 43.

Adding to 12105605333761 its reverse (16733350650121), we get a palindrome (28838955983882).

The spelling of 12105605333761 in words is "twelve trillion, one hundred five billion, six hundred five million, three hundred thirty-three thousand, seven hundred sixty-one".