When reciting Hallel responsively (the chazzan saying each stich of Hallel, and the congregation responding "Halleluyah"), they say "Halleluyah" 123 times. The Yerushalmi (Shabbos 16:1) associates this with the age of Aharonage of Aharon, and this is codified by Rambam (Hil. Chanukah 3:12).
In one of his talks (Likkutei Sichos, vol. 23, pp. 229ff), the Lubavitcher Rebbe zt"l explains the deeper reason behind this association: (a) this way of saying Hallel helps even those who aren't so literate be able to join in the recitation; (b) it means that everyone is reciting Hallel in unison. Both of these reflect Aharon's way of bringing everyone, regardless of their status, closer to Hashem ("אוהב את הבריות ומקרבן לתורה").