You will also need Google Play Services v21.30.99 or earlier, as later versions dropped support for Jelly Bean in August 2021.
Google stops updating the Play Store for very old Android versions. The last versions that support API level 16 (Android 4.1.x) are: play store apk android 412
There is a reason Google stopped supporting Android 4.1.2. The security patches are extinct. By forcing a onto your device, you are opening a door to a vulnerable ecosystem. You will also need Google Play Services v21
Because the official Play Store consumes heavy RAM and CPU, experts often recommend: play store apk android 412
Do not use "APK downloader" sites with pop-up ads. Look for the SHA-1 checksum to verify file integrity.