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12122312117 is a prime number
BaseRepresentation
bin10110100101000101…
…11100110110110101
31011021211021021000212
423102202330312311
5144311302441432
65322515115205
7606254644556
oct132242746665
934254237025
1012122312117
115160802573
1224238a2b05
1311b25bac66
1482dd7a32d
154ae3812b2
hex2d28bcdb5

12122312117 has 2 divisors, whose sum is σ = 12122312118. Its totient is φ = 12122312116.

The previous prime is 12122312089. The next prime is 12122312123. The reversal of 12122312117 is 71121322121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6680446756 + 5441865361 = 81734^2 + 73769^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122312117 - 26 = 12122312053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122312092 and 12122312101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122312197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061156058 + 6061156059.

It is an arithmetic number, because the mean of its divisors is an integer number (6061156059).

Almost surely, 212122312117 is an apocalyptic number.

It is an amenable number.

12122312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122312117 is an equidigital number, since it uses as much as digits as its factorization.

12122312117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 23.

Adding to 12122312117 its reverse (71121322121), we get a palindrome (83243634238).

The spelling of 12122312117 in words is "twelve billion, one hundred twenty-two million, three hundred twelve thousand, one hundred seventeen".