12010944516761 has 2 divisors, whose sum is σ = 12010944516762. Its totient is φ = 12010944516760.

The previous prime is 12010944516757. The next prime is 12010944516817. The reversal of 12010944516761 is 16761544901021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11916545641225 + 94398875536 = 3452035^2 + 307244^2 .

It is a cyclic number.

It is not a de Polignac number, because 12010944516761 - 2² = 12010944516757 is a prime.

It is a super-2 number, since 2×12010944516761² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12010946516761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005472258380 + 6005472258381.

It is an arithmetic number, because the mean of its divisors is an integer number (6005472258381).

Almost surely, 2^{12010944516761} is an apocalyptic number.

It is an amenable number.

12010944516761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12010944516761 is an equidigital number, since it uses as much as digits as its factorization.

12010944516761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 12010944516761 in words is "twelve trillion, ten billion, nine hundred forty-four million, five hundred sixteen thousand, seven hundred sixty-one".