Get Category details in Magento1

Get all categories in magento1

$categories = Mage::getModel('catalog/category')->getCollection()
->addAttributeToSelect('id')
->addAttributeToSelect('name')
->addAttributeToSelect('url')
->addAttributeToSelect('is_active');

foreach ($categories as $category)
{
    if ($category->getIsActive()) { // Only pull Active categories
        $entity_id = $category->getId();
        $name = $category->getName();
        $url_key = $category->getUrlKey();
        $url_path = $category->getUrl();
    }
}

Get the child category of the category in magento1

$children = Mage::getModel('catalog/category')->getCategories(category_id);
foreach ($children as $category) {
     echo $category->getName();
     echo $category->getImageUrl();
     echo $category->getDescription();
     echo $category->getId();
}

Note:- category_id like 1,2 etc.

Get all categories of the product in magento1

 $_Product = Mage::getModel("catalog/product")->load(Product_id);
 $categoryIds = $_Product->getCategoryIds();//array of product categories

    foreach($categoryIds as $categoryId) {
      $category = Mage::getModel('catalog/category')->load($categoryId);
        echo $category->getName();
        echo $category->getImageUrl();
        echo $category->getDescription();
        echo $category->getId();
   }

Note:- put product id in the load function.

Get the level of the category in magento1

$category = Mage::getModel('catalog/category')->load(category_id);
echo $category->getLevel();

Note:- put the category id in the load function.

Get the category name, image, description from category id in magento1

 $category = Mage::getModel('catalog/category')->load(category_id);
echo $category->getName();
echo $category->getImageUrl();
echo $category->getDescription();

Note:- put the categoryid in the load function.