I thought that, until I had a kid.
The problem is once they're about a year old, there's nothing to do with them. They can't talk, they aren't old enough to understand the concept of playing with someone else...all they can really do is run around and bang into stuff.
By the time they're 6 months old, you can start teaching sign language; by the time they're 1, they'll have a sign vocabulary of about 20 - 30 words, and be starting to talk, using signs to clarify what those talk-like sounds mean. When my kids were 1-2, I had a blast with them; we played games, danced to music, talked about the shapes of clouds, etc. And then, since they were still young, they got their afternoon nap and I had a chance to go and do other things. While they couldn't understand the concept of playing with someone else, they had no problems playing with someone who was interested in doing what they found interesting (which was often getting said person to build a tower of blocks so they could knock it over, or grabbing puppets off of people's hands and throwing them across the room).
And yes; both my kids figured out how to use a touchscreen by 18 months too... we learned to keep the locks on and keep the devices out of reach except for under supervised use for limited time.
It might be too late for you now, but I'd highly recommend looking up baby sign language; while your kid doesn't have the muscular dexterity to talk to you clearly, their mind is still full of interesting thoughts that they just don't know how to communicate.