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12144844121 is a prime number
BaseRepresentation
bin10110100111110001…
…11001110101011001
31011100101200000010112
423103320321311121
5144333040002441
65325042054105
7606650320544
oct132370716531
934311600115
1012144844121
1151724a2163
12242b34a335
1311b71799c7
14832d6385b
154b13324eb
hex2d3e39d59

12144844121 has 2 divisors, whose sum is σ = 12144844122. Its totient is φ = 12144844120.

The previous prime is 12144844111. The next prime is 12144844181.

12144844121 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11922237721 + 222606400 = 109189^2 + 14920^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 12144844121 - 26 = 12144844057 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 (12144844111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6072422060 + 6072422061.

It is an arithmetic number, because the mean of its divisors is an integer number (6072422061).

Almost surely, 212144844121 is an apocalyptic number.

It is an amenable number.

12144844121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12144844121 is an equidigital number, since it uses as much as digits as its factorization.

12144844121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8192, while the sum is 32.

The spelling of 12144844121 in words is "twelve billion, one hundred forty-four million, eight hundred forty-four thousand, one hundred twenty-one".