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12008128409 is a prime number
BaseRepresentation
bin10110010111011110…
…10111111110011001
31010222212102010102122
423023233113332121
5144043040102114
65303315511025
7603400256504
oct131357277631
933885363378
1012008128409
115102303672
1223b15b8475
131194a4c534
1481cb3613b
154a4328e8e
hex2cbbd7f99

12008128409 has 2 divisors, whose sum is σ = 12008128410. Its totient is φ = 12008128408.

The previous prime is 12008128373. The next prime is 12008128417. The reversal of 12008128409 is 90482180021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11936218009 + 71910400 = 109253^2 + 8480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12008128409 is a prime.

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 (12008128439) 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, 6004064204 + 6004064205.

It is an arithmetic number, because the mean of its divisors is an integer number (6004064205).

Almost surely, 212008128409 is an apocalyptic number.

It is an amenable number.

12008128409 is a deficient number, since it is larger than the sum of its proper divisors (1).

12008128409 is an equidigital number, since it uses as much as digits as its factorization.

12008128409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 12008128409 in words is "twelve billion, eight million, one hundred twenty-eight thousand, four hundred nine".