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12122031517 is a prime number
BaseRepresentation
bin10110100101000011…
…11000010110011101
31011021210202000010021
423102201320112131
5144311220002032
65322505112141
7606252365521
oct132241702635
934253660107
1012122031517
115160630772
122423788651
1311b252031b
1482dd05d81
154ae328097
hex2d287859d

12122031517 has 2 divisors, whose sum is σ = 12122031518. Its totient is φ = 12122031516.

The previous prime is 12122031511. The next prime is 12122031529. The reversal of 12122031517 is 71513022121.

12122031517 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., 12110122116 + 11909401 = 110046^2 + 3451^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122031517 - 223 = 12113642909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122031491 and 12122031500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122031511) 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, 6061015758 + 6061015759.

It is an arithmetic number, because the mean of its divisors is an integer number (6061015759).

Almost surely, 212122031517 is an apocalyptic number.

It is an amenable number.

12122031517 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122031517 is an equidigital number, since it uses as much as digits as its factorization.

12122031517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 12122031517 its reverse (71513022121), we get a palindrome (83635053638).

The spelling of 12122031517 in words is "twelve billion, one hundred twenty-two million, thirty-one thousand, five hundred seventeen".