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12122021017 is a prime number
BaseRepresentation
bin10110100101000011…
…10101110010011001
31011021210201110201101
423102201311302121
5144311214133032
65322504551401
7606252323101
oct132241656231
934253643641
1012122021017
115160623897
122423782561
1311b2518602
1482dd02201
154ae324de7
hex2d2875c99

12122021017 has 2 divisors, whose sum is σ = 12122021018. Its totient is φ = 12122021016.

The previous prime is 12122020961. The next prime is 12122021053. The reversal of 12122021017 is 71012022121.

12122021017 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., 9797238361 + 2324782656 = 98981^2 + 48216^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122021017 - 219 = 12121496729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122020985 and 12122021003.

It is not a weakly prime, because it can be changed into another prime (12122021057) 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, 6061010508 + 6061010509.

It is an arithmetic number, because the mean of its divisors is an integer number (6061010509).

Almost surely, 212122021017 is an apocalyptic number.

It is an amenable number.

12122021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122021017 is an equidigital number, since it uses as much as digits as its factorization.

12122021017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 12122021017 its reverse (71012022121), we get a palindrome (83134043138).

The spelling of 12122021017 in words is "twelve billion, one hundred twenty-two million, twenty-one thousand, seventeen".