You might want to read this section from Jeff Schewe's book
The Digital Print, which is on the web at:
https://www.digitalphotopro.com/technique/photography-workflow/the-right-resolution/Basically, among relatively recent Epson photo printers, other than the aforementioned double-resolution mode that some of them have:
* the models that print 8.5 inches wide / A4 and 13 inches wide / A3+, print 360 pixels per inch, with those pixels formed using 5760x1440 dots per inch (dots = individual ink droplets), using dots as small as 1.5 pl each (dye) or 2.0 pl each (pigment);
* the models that print 17 inches wide / A2 and 24 inches wide / A1, and AFAIK some of the models that print 44 inches wide, print 360 pixels per inch, with those pixels formed using 2880x1440 dots per inch, using dots as small as 3.5 pl each; and
* AFAIK some of the models that print 44 inches wide, and the models that print 64 inches wide, print 300 pixels per inch, with those pixels formed using 2400x1200 dots per inch, using dots as small as 3.5 pl each.
As for how dots / droplets of a limited number of ink colors are used to make pixels in millions of colors, yes, the exact details are a trade secret, but some of the most basic concepts can be gleaned by reading:
https://en.wikipedia.org/wiki/Ditherhttps://en.wikipedia.org/wiki/Halftone[EDIT]
To be clear, I'm not suggesting that modern photo printers use a halftone process--they don't. But reading the article will give you some ideas about how a range of colors and lightnesses can be built up from simpler pieces.