It is unlawful for a manufacturing milk handler who is not licensed under Article 12 (commencing with Section 62141) of Chapter 2 to handle manufacturing milk without first obtaining a manufacturing milk handler’s license pursuant to this article. In addition, pursuant to Section 61490, any handler shall obtain a separate license for each milk plant owned or operated. The license provided for in this article is in addition to any license which is required by Division 15 (commencing with Section 32501), or by any law or ordinance of any county or municipality of this state.