Uncle Wang wants to process one urgently needed part for four customers respectively, and the required time is 10 minutes, 13 minutes, 14 minutes, and 12 minutes respectively. In what order can the sum of the customer's waiting time be the least, and how much time is needed at least?
王叔叔要给4位客户分别加工1个急需要用的零件，所需要的时间分别是10分钟、13分钟、14分钟、12分钟．按照什么次序才能使得客户等待的时间总和最少，至少需要多少时间？
<gadget id="calculator">10 * 4</gadget>
<output>40</output>

<gadget id="calculator">12 * 3</gadget>
<output>36</output>

<gadget id="calculator">13 * 2</gadget>
<output>26</output>

<gadget id="calculator">40 + 36 + 26 + 14</gadget>
<output>116</output>

<result>116</result>