How to get product collection of products that has special price filtred by specific category id

I’m trying to get product collection of all products that has special_price and their special_to_date is less than today’s date, and they belong to a specific category. I tried the bellow code but it goes through a loop.

$products = Mage::getModel('catalog/product')
                    ->getCollection()
                    ->joinField('category_id',
                        'catalog/category_product',
                        'category_id',
                        'product_id = entity_id',
                        null)
                    ->addFieldToFilter('category_id', 122)
                    ->addAttributeToSelect('*')
                    ->addAttributeToFilter('visibility', array('neq' => 1))
                    ->addAttributeToFilter('status', 1)
                    ->addFieldToFilter('special_price',array('notnull'=>true))
                    ->addFieldToFilter('special_to_date',array('lt'=> Mage::getModel('core/date')->date('Y-m-d H:i:s', strtotime('today')) ))
                    ->load();

Is anyone have an idea what I miss here.

Thank you all :))