Let's evaluate the expression step by step.
First, we need to know the values of the trigonometric functions for the given angles:
* sin 60° = √3/2
* cos 60° = 1/2
Now, substitute these values into the expression:
$$12 \cdot \sin 60^\circ \cdot \cos 60^\circ = 12 \cdot \frac{\sqrt{3}}{2} \cdot \frac{1}{2}$$
Perform the multiplications:
$$= 12 \cdot \frac{\sqrt{3}}{4}$$
$$= \frac{12\sqrt{3}}{4}$$
$$= 3\sqrt{3}$$
So, the result of the expression is $$3\sqrt{3}$$.
Answer: $$3\sqrt{3}$$