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12228900941 is a prime number
BaseRepresentation
bin10110110001110011…
…00011100001001101
31011120020211112102002
423120321203201031
5200021044312231
65341243442045
7612020641265
oct133071434115
934506745362
1012228900941
115205994304
122453526325
1311cb6ca77a
148401a47a5
154b88d80cb
hex2d8e6384d

12228900941 has 2 divisors, whose sum is σ = 12228900942. Its totient is φ = 12228900940.

The previous prime is 12228900917. The next prime is 12228900961. The reversal of 12228900941 is 14900982221.

12228900941 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., 10467336100 + 1761564841 = 102310^2 + 41971^2 .

It is a cyclic number.

It is not a de Polignac number, because 12228900941 - 226 = 12161792077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12228900895 and 12228900904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12228900961) 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, 6114450470 + 6114450471.

It is an arithmetic number, because the mean of its divisors is an integer number (6114450471).

Almost surely, 212228900941 is an apocalyptic number.

It is an amenable number.

12228900941 is a deficient number, since it is larger than the sum of its proper divisors (1).

12228900941 is an equidigital number, since it uses as much as digits as its factorization.

12228900941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 38.

The spelling of 12228900941 in words is "twelve billion, two hundred twenty-eight million, nine hundred thousand, nine hundred forty-one".