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12122144197 is a prime number
BaseRepresentation
bin10110100101000100…
…10011110111000101
31011021210221201200121
423102202103313011
5144311232103242
65322511341541
7606253345162
oct132242236705
934253851617
1012122144197
1151606a8399
1224238218b1
1311b255c6b7
1482dd35069
154ae34b667
hex2d2893dc5

12122144197 has 2 divisors, whose sum is σ = 12122144198. Its totient is φ = 12122144196.

The previous prime is 12122144183. The next prime is 12122144201. The reversal of 12122144197 is 79144122121.

12122144197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11813298721 + 308845476 = 108689^2 + 17574^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122144197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122145197) 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, 6061072098 + 6061072099.

It is an arithmetic number, because the mean of its divisors is an integer number (6061072099).

Almost surely, 212122144197 is an apocalyptic number.

It is an amenable number.

12122144197 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122144197 is an equidigital number, since it uses as much as digits as its factorization.

12122144197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 34.

The spelling of 12122144197 in words is "twelve billion, one hundred twenty-two million, one hundred forty-four thousand, one hundred ninety-seven".