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12168516209 is a prime number
BaseRepresentation
bin10110101010100110…
…01101001001110001
31011102001012200010112
423111103031021301
5144410120004314
65331245311105
7610355452433
oct132523151161
934361180115
1012168516209
1151848a0373
122437265495
1311bc047665
14836166653
154b345b43e
hex2d54cd271

12168516209 has 2 divisors, whose sum is σ = 12168516210. Its totient is φ = 12168516208.

The previous prime is 12168516193. The next prime is 12168516271. The reversal of 12168516209 is 90261586121.

12168516209 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., 6193690000 + 5974826209 = 78700^2 + 77297^2 .

It is a cyclic number.

It is not a de Polignac number, because 12168516209 - 24 = 12168516193 is a prime.

It is not a weakly prime, because it can be changed into another prime (12168516299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6084258104 + 6084258105.

It is an arithmetic number, because the mean of its divisors is an integer number (6084258105).

Almost surely, 212168516209 is an apocalyptic number.

It is an amenable number.

12168516209 is a deficient number, since it is larger than the sum of its proper divisors (1).

12168516209 is an equidigital number, since it uses as much as digits as its factorization.

12168516209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 41.

The spelling of 12168516209 in words is "twelve billion, one hundred sixty-eight million, five hundred sixteen thousand, two hundred nine".