Search a number
-
+
12122102221 is a prime number
BaseRepresentation
bin10110100101000100…
…01001100111001101
31011021210212121002221
423102202021213031
5144311224232341
65322510415341
7606253111615
oct132242114715
934253777087
1012122102221
1151606798a9
122423801551
1311b2546568
1482dd23a45
154ae33ded1
hex2d28899cd

12122102221 has 2 divisors, whose sum is σ = 12122102222. Its totient is φ = 12122102220.

The previous prime is 12122102203. The next prime is 12122102231. The reversal of 12122102221 is 12220122121.

Adding to 12122102221 its reverse (12220122121), we get a palindrome (24342224342).

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., 7307685225 + 4814416996 = 85485^2 + 69386^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122102221 - 213 = 12122094029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12122102195 and 12122102204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122102231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061051110 + 6061051111.

It is an arithmetic number, because the mean of its divisors is an integer number (6061051111).

Almost surely, 212122102221 is an apocalyptic number.

It is an amenable number.

12122102221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122102221 is an equidigital number, since it uses as much as digits as its factorization.

12122102221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 12122102221 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-one".