You can easily double the pixel count in each axis by 2X, but that does NOT increase the apparent detail resolution of the photograph...it is still a photo with 6MP of detail resolution. Increasing pixel count in software only reduces the apparent size of a single pixel in a very large print, and decrreases the 'aliasing' (stairstepping of straight lines not perfectly on the X-axis or Y-axis).
That said, I have taken a Canon S110 image of about 12 MPixels, and used Lightroom to output a JPG file of a landscape shot large enough to print a 12" x 60" canvas print, and no one -- even standing 2' from the print -- has ever commented about not enough detail or pixels that are too large and visible from a close distance. I created a JPG file from RAW, sufficiently large to provide 250 pixels per inch on a 60" wide print!
As for my initial venture into digital 20 years ago, that was a 4MPixel camera. And my first dSLR was an 8MPixels. But you also need to also understand that I shot professionally, had given up all 135 format film shooting, and shot everything with Medium Format and Large Format film Yet an 8MPixel APS-C format camera I considered to at least equal or better or shooting a 135 film image in many ways!
And when someone bemoaned the inadequacy of his P&S photos compared to the dSLR photos in a camera club full of shooters, I proved that he (and others) could NOT correctly identify the three 4MPixel P&S images from the three 8MPixel dSLR images which I posted on a photo forum.