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12123104269 is a prime number
BaseRepresentation
bin10110100101001011…
…11110010000001101
31011021212202111122211
423102211332100031
5144312003314034
65322544110421
7606264454213
oct132245762015
934255674584
1012123104269
1151611a3741
122424005411
1311b28076a3
14830104cb3
154ae48ad64
hex2d297e40d

12123104269 has 2 divisors, whose sum is σ = 12123104270. Its totient is φ = 12123104268.

The previous prime is 12123104267. The next prime is 12123104347. The reversal of 12123104269 is 96240132121.

12123104269 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., 9184922244 + 2938182025 = 95838^2 + 54205^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123104269 - 21 = 12123104267 is a prime.

It is a super-2 number, since 2×121231042692 (a number of 21 digits) contains 22 as substring.

Together with 12123104267, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12123104269.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12123104267) 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, 6061552134 + 6061552135.

It is an arithmetic number, because the mean of its divisors is an integer number (6061552135).

Almost surely, 212123104269 is an apocalyptic number.

It is an amenable number.

12123104269 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123104269 is an equidigital number, since it uses as much as digits as its factorization.

12123104269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 12123104269 in words is "twelve billion, one hundred twenty-three million, one hundred four thousand, two hundred sixty-nine".