Is it permissible to offer the funeral prayer (Salat al-Janazah) for a child born alive in the sixth month of pregnancy who died immediately after birth, and will this child intercede for his parents on the Day of Judgment?

The young children of Muslims who die enter Paradise and will intercede for their parents on the Day of Judgment. One of them will meet his father on the Day of Judgment, take hold of his garment, and not let go until Allah admits him into Paradise.