A composite number has exactly 12 divisors and is greater than 1000. What is the smallest number that satisfies this condition?
一个合数恰有12个约数，且比1000大，满足这样条件的最小数是多少．
<gadget id="calculator">2 * 2 * 11 * 23</gadget>
<output>1_012</output>

<result>1_012</result>