Search a number
-
+
12040222241 is a prime number
BaseRepresentation
bin10110011011010011…
…10011011000100001
31011002002210122220002
423031221303120201
5144124244102431
65310423425345
7604240125515
oct131551633041
934062718802
1012040222241
1151194341a3
1224002b5255
13119b5a8578
148230cc145
154a70683cb
hex2cda73621

12040222241 has 2 divisors, whose sum is σ = 12040222242. Its totient is φ = 12040222240.

The previous prime is 12040222189. The next prime is 12040222247. The reversal of 12040222241 is 14222204021.

12040222241 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., 6972918016 + 5067304225 = 83504^2 + 71185^2 .

It is a cyclic number.

It is not a de Polignac number, because 12040222241 - 230 = 10966480417 is a prime.

It is a super-2 number, since 2×120402222412 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12040222247) 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, 6020111120 + 6020111121.

It is an arithmetic number, because the mean of its divisors is an integer number (6020111121).

Almost surely, 212040222241 is an apocalyptic number.

It is an amenable number.

12040222241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12040222241 is an equidigital number, since it uses as much as digits as its factorization.

12040222241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12040222241 its reverse (14222204021), we get a palindrome (26262426262).

The spelling of 12040222241 in words is "twelve billion, forty million, two hundred twenty-two thousand, two hundred forty-one".