Imagine that you are designing a taggant (a microscopic particle or molecular solution that can be inserted into a product to identify it as authentic) that will be in the form of a cube with 12 layered colors. The bottom 3 layers will be selected without repetition from the primary colors (blue, yellow, red), and the top 3 layers will be selected without repetition from the secondary colors (green, purple, orange). The 6 middle layers will be selected without repetition from the six tertiary colors. How many different taggant designs are possible? There are possible taggant designs. (Type a whole number.)