Set how many listings show per page

You can control the number of posts displayed from Dashboard > Settings > Reading > Blog pages show at most.

Or you can use the WordPress pre_get_posts filter to alter the count based on the property post type.

See Changing the number of posts per page, by post type

EG:

function my_property_pagesize( $query ) {
    if ( is_admin() || ! $query->is_main_query() )
        return;
    if ( is_post_type_archive( 'property' ) ) {
        // Display 12 posts for a custom post type called 'property'
        $query->set( 'posts_per_page', 12 );
        return;
    }
}
add_action( 'pre_get_posts', 'my_property_pagesize', 1 );