Download the “nodpi” version unless you know your screen DPI. It works universally on Android 4.2.2.
: Handles secure login for your Google Account across different apps. API Support
Google Play Services is not a standard app but a background system component. On Android 4.2.2, it provides: App Updates : Enables the Google Play Store to update your installed applications. Authentication
Providing location services, maps, and gaming features (Google Play Games).
Modern versions (like those for Android 12+) will not install on 4.2.2 due to system requirements.
: In 2013, Google moved its app verification service out of the core OS and into Play Services, instantly making Jelly Bean devices more secure against malicious APKs.