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12121222417 is a prime number
BaseRepresentation
bin10110100100111101…
…10010110100010001
31011021202012220020121
423102132302310101
5144311013104132
65322435510241
7606242455603
oct132236626421
934252186217
1012121222417
115160128897
122423458381
1311b22c8c75
1482db75173
154ae218497
hex2d27b2d11

12121222417 has 2 divisors, whose sum is σ = 12121222418. Its totient is φ = 12121222416.

The previous prime is 12121222369. The next prime is 12121222427. The reversal of 12121222417 is 71422212121.

12121222417 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., 8765453376 + 3355769041 = 93624^2 + 57929^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121222417 - 211 = 12121220369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121222391 and 12121222400.

It is not a weakly prime, because it can be changed into another prime (12121222427) 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, 6060611208 + 6060611209.

It is an arithmetic number, because the mean of its divisors is an integer number (6060611209).

Almost surely, 212121222417 is an apocalyptic number.

It is an amenable number.

12121222417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121222417 is an equidigital number, since it uses as much as digits as its factorization.

12121222417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 896, while the sum is 25.

Adding to 12121222417 its reverse (71422212121), we get a palindrome (83543434538).

The spelling of 12121222417 in words is "twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, four hundred seventeen".