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12220012177 is a prime number
BaseRepresentation
bin10110110000101111…
…01001011010010001
31011112122002221022121
423120113221122101
5200011310342202
65340325134241
7611552250442
oct133027513221
934478087277
1012220012177
11520097301a
12245055a381
1311c9907949
1483cd2d2c9
154b7c2e537
hex2d85e9691

12220012177 has 2 divisors, whose sum is σ = 12220012178. Its totient is φ = 12220012176.

The previous prime is 12220012093. The next prime is 12220012187. The reversal of 12220012177 is 77121002221.

12220012177 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., 10330892881 + 1889119296 = 101641^2 + 43464^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220012177 - 227 = 12085794449 is a prime.

It is not a weakly prime, because it can be changed into another prime (12220012187) 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, 6110006088 + 6110006089.

It is an arithmetic number, because the mean of its divisors is an integer number (6110006089).

Almost surely, 212220012177 is an apocalyptic number.

It is an amenable number.

12220012177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220012177 is an equidigital number, since it uses as much as digits as its factorization.

12220012177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 12220012177 its reverse (77121002221), we get a palindrome (89341014398).

The spelling of 12220012177 in words is "twelve billion, two hundred twenty million, twelve thousand, one hundred seventy-seven".