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12122012009 is a prime number
BaseRepresentation
bin10110100101000011…
…10011100101101001
31011021210201000100202
423102201303211221
5144311213341014
65322504441545
7606252254612
oct132241634551
934253630322
1012122012009
115160618048
1224237792b5
1311b2514493
1482dcdcc09
154ae3223de
hex2d2873969

12122012009 has 2 divisors, whose sum is σ = 12122012010. Its totient is φ = 12122012008.

The previous prime is 12122011997. The next prime is 12122012041. The reversal of 12122012009 is 90021022121.

It is a happy number.

12122012009 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., 9657385984 + 2464626025 = 98272^2 + 49645^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122012009 - 224 = 12105234793 is a prime.

It is not a weakly prime, because it can be changed into another prime (12122011009) 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, 6061006004 + 6061006005.

It is an arithmetic number, because the mean of its divisors is an integer number (6061006005).

Almost surely, 212122012009 is an apocalyptic number.

It is an amenable number.

12122012009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122012009 is an equidigital number, since it uses as much as digits as its factorization.

12122012009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 12122012009 in words is "twelve billion, one hundred twenty-two million, twelve thousand, nine".