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12406741722769 is a prime number
BaseRepresentation
bin1011010010001010101101…
…1011101110011010010001
31121221001222011101110211011
42310202223123232122101
53111233001340112034
642215324540450521
72420233424424652
oct264425333563221
947831864343734
1012406741722769
113a53740294309
121484614849a41
136bcc48983aa4
1430c6bd2a9529
15167adb616864
hexb48ab6ee691

12406741722769 has 2 divisors, whose sum is σ = 12406741722770. Its totient is φ = 12406741722768.

The previous prime is 12406741722689. The next prime is 12406741722839. The reversal of 12406741722769 is 96722714760421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8373713825169 + 4033027897600 = 2893737^2 + 2008240^2 .

It is a cyclic number.

It is not a de Polignac number, because 12406741722769 - 229 = 12406204851857 is a prime.

It is a super-3 number, since 3×124067417227693 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12406741722469) 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, 6203370861384 + 6203370861385.

It is an arithmetic number, because the mean of its divisors is an integer number (6203370861385).

Almost surely, 212406741722769 is an apocalyptic number.

It is an amenable number.

12406741722769 is a deficient number, since it is larger than the sum of its proper divisors (1).

12406741722769 is an equidigital number, since it uses as much as digits as its factorization.

12406741722769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14224896, while the sum is 58.

The spelling of 12406741722769 in words is "twelve trillion, four hundred six billion, seven hundred forty-one million, seven hundred twenty-two thousand, seven hundred sixty-nine".