Did you accidentally switch the buttons on your mouse? Unlikely.
On each corner of the canvas/viewport (not the picture, but the canvas itself) are little arrows. Hold down one of them and drag your mouse around. But be careful; it tends to send the picture speeding away if you go too fast. Should that happen, look underneath the Playback tab in the top left menu. There's a button saying "Focus Canvas". Click that and you'll automatically center the canvas.
Oh, one more thing just occurred to me. Do you mean zoom in or move around? You said "zoom around" and I'm kind of thinking, "huh?" I'm assuming you want to move around. You can't zoom with the right-click.