12105204961 has 2 divisors, whose sum is σ = 12105204962. Its totient is φ = 12105204960.

The previous prime is 12105204889. The next prime is 12105205001. The reversal of 12105204961 is 16940250121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11134259361 + 970945600 = 105519^2 + 31160^2 .

It is a cyclic number.

It is not a de Polignac number, because 12105204961 - 2²⁷ = 11970987233 is a prime.

It is not a weakly prime, because it can be changed into another prime (12105205961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6052602480 + 6052602481.

It is an arithmetic number, because the mean of its divisors is an integer number (6052602481).

Almost surely, 2^12105204961 is an apocalyptic number.

It is an amenable number.

12105204961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12105204961 is an equidigital number, since it uses as much as digits as its factorization.

12105204961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 12105204961 in words is "twelve billion, one hundred five million, two hundred four thousand, nine hundred sixty-one".