2712463905121 has 2 divisors, whose sum is σ = 2712463905122. Its totient is φ = 2712463905120.

The previous prime is 2712463905113. The next prime is 2712463905133. The reversal of 2712463905121 is 1215093642172.

2712463905121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1991798738721 + 720665166400 = 1411311^2 + 848920^2 .

It is a cyclic number.

It is not a de Polignac number, because 2712463905121 - 2³ = 2712463905113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2712463905521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1356231952560 + 1356231952561.

It is an arithmetic number, because the mean of its divisors is an integer number (1356231952561).

Almost surely, 2^{2712463905121} is an apocalyptic number.

It is an amenable number.

2712463905121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2712463905121 is an equidigital number, since it uses as much as digits as its factorization.

2712463905121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 2712463905121 in words is "two trillion, seven hundred twelve billion, four hundred sixty-three million, nine hundred five thousand, one hundred twenty-one".