Search a number
-
+
12210120217 is a prime number
BaseRepresentation
bin10110101111100011…
…11010011000011001
31011111221111101002201
423113301322120121
5200001242321332
65335333130201
7611402211061
oct132761723031
934457441081
1012210120217
1151a6327049
122449189961
1311c7853309
1483b8b63a1
154b6e285e7
hex2d7c7a619

12210120217 has 2 divisors, whose sum is σ = 12210120218. Its totient is φ = 12210120216.

The previous prime is 12210120127. The next prime is 12210120229. The reversal of 12210120217 is 71202101221.

Together with previous prime (12210120127) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12182861376 + 27258841 = 110376^2 + 5221^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210120217 - 219 = 12209595929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210120194 and 12210120203.

It is not a weakly prime, because it can be changed into another prime (12210120277) 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, 6105060108 + 6105060109.

It is an arithmetic number, because the mean of its divisors is an integer number (6105060109).

Almost surely, 212210120217 is an apocalyptic number.

It is an amenable number.

12210120217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210120217 is an equidigital number, since it uses as much as digits as its factorization.

12210120217 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 12210120217 its reverse (71202101221), we get a palindrome (83412221438).

The spelling of 12210120217 in words is "twelve billion, two hundred ten million, one hundred twenty thousand, two hundred seventeen".