The second piano concerto composed after his permanent settlement in Vienna. Among Concertos Nos. 11-13, composed in quick succession from late 1782 to the following year, No. 11, despite its numbering, is believed to have been created immediately after No. 12.

According to a letter from Mozart during this period (December 28, 1782), his piano concertos were composed to be "neither too difficult nor too easy, satisfying not only connoisseurs but also those who are not, for some reason." True to his words, the three piano concertos from this period possess a simple structure, are pleasing to the ear, and have rich content. They also share the characteristic of being arranged so that they can be performed with a string quartet, without wind instruments.

Cadenzas by Mozart himself for the first and second movements have been preserved.

First Movement: Allegro, F major, 3/4 time. Concerto-sonata form.

This movement, which begins with repeated tonic chords, possesses a sociable brightness while also conveying a sense of power. The entrance of the solo piano, appearing somewhat prematurely, is characteristic.

Second Movement: Larghetto, B-flat major, 4/4 time.

This movement has a leisurely flow, typical of a slow movement. The emphasis provided by occasional forte-piano markings serves as an accent.

Third Movement: Tempo di Menuetto, F major, 3/4 time. Rondo form.

This movement has a somewhat distinctive atmosphere, beginning with a polyphonic theme. In addition to presenting the theme, the piano enriches the movement with its intricate note values.