Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_12496904_1 (population_density_2012__km_2__ INTEGER, sector VARCHAR)

### Question ###
What is the population density for 2012 for Gatunda sector?

### Accurate SQL ###

SELECT MIN(population_density_2012__km_2__) FROM table_12496904_1 WHERE sector = "Gatunda"