12V DC motor questions (high torque, rated rpm, brushed v brushless etc.)

I am looking for a small 12V DC motor to simply power a small 3″ fan blade at high RPM (10k-15k). I need it to reach maximum RPM as fast as possible, unlike say a computer fan which has a slow ramp up time. It basically needs to be almost instant-on. From what I understand the things that can affect this are the load v rated speed, whether it is high torque and whether it it brushed vs brushless. Is that correct?

submitted by /u/Remi-72
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