Clocks and Hands

On a conventional 12-hour analogue clock the hour hand and minute hand coincide at 00:00 (midnight).

Give two numbers, in this order: (1) the number of minutes after 00:00 at which the hands next coincide (an exact value or a decimal to at least 7 significant figures), and (2) the number of times the hands coincide during a 24-hour day starting at 00:00, counting the coincidence at 00:00 itself but not the one at the following midnight.