Search a number
-
+
12122210210189 is a prime number
BaseRepresentation
bin1011000001100110110000…
…0010001001000110001101
31120220212112200011000200112
42300121230002021012031
53042102241303211224
641440511055005405
72360541445450262
oct260315402110615
946825480130615
1012122210210189
113954000702612
121439447809865
1369c172771a21
142dca0a69d269
151604d6e5d30e
hexb066c08918d

12122210210189 has 2 divisors, whose sum is σ = 12122210210190. Its totient is φ = 12122210210188.

The previous prime is 12122210210083. The next prime is 12122210210219. The reversal of 12122210210189 is 98101201222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6348560533225 + 5773649676964 = 2519635^2 + 2402842^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122210210189 - 220 = 12122209161613 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122210210689) 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, 6061105105094 + 6061105105095.

It is an arithmetic number, because the mean of its divisors is an integer number (6061105105095).

Almost surely, 212122210210189 is an apocalyptic number.

It is an amenable number.

12122210210189 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122210210189 is an equidigital number, since it uses as much as digits as its factorization.

12122210210189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The spelling of 12122210210189 in words is "twelve trillion, one hundred twenty-two billion, two hundred ten million, two hundred ten thousand, one hundred eighty-nine".