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12147247129 is a prime number
BaseRepresentation
bin10110101000000100…
…00100100000011001
31011100120012002102211
423110002010200121
5144334143402004
65325205355121
7610006616443
oct132402044031
934316162384
1012147247129
115173893616
122430108aa1
1311b780b6c4
148333cb493
154b1659504
hex2d4084819

12147247129 has 2 divisors, whose sum is σ = 12147247130. Its totient is φ = 12147247128.

The previous prime is 12147247127. The next prime is 12147247159. The reversal of 12147247129 is 92174274121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8489779600 + 3657467529 = 92140^2 + 60477^2 .

It is a cyclic number.

It is not a de Polignac number, because 12147247129 - 21 = 12147247127 is a prime.

It is a super-2 number, since 2×121472471292 (a number of 21 digits) contains 22 as substring.

Together with 12147247127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12147247091 and 12147247100.

It is not a weakly prime, because it can be changed into another prime (12147247127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6073623564 + 6073623565.

It is an arithmetic number, because the mean of its divisors is an integer number (6073623565).

Almost surely, 212147247129 is an apocalyptic number.

It is an amenable number.

12147247129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12147247129 is an equidigital number, since it uses as much as digits as its factorization.

12147247129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 56448, while the sum is 40.

The spelling of 12147247129 in words is "twelve billion, one hundred forty-seven million, two hundred forty-seven thousand, one hundred twenty-nine".