According to my tracker app, a resting heart rate can rise by 15-20 beats per minute during pregnancy because blood volume increases by almost 50%. A heart rate of 120 can happen with minor physical activity or anxiety, but if it stays high constantly while resting, you should log it and tell your gynac.
When my heart rate used to go up, my mother would make me lie down on my left side and gently fan me. It's often just fatigue, but please let your doctor know about it. Take lots of rest and let your family take care of you right now.
Your body is working double-time right now, so a slightly elevated heart rate is normal. However, 120 while resting is on the higher side. Do not ignore it if you feel palpitations, and check with your cardiologist or gynac just to rule out any issues.
It can happen sometimes due to tiredness or thoda anxiety. Try to sit down, drink some cool water, and take deep breaths. If you still feel uneasy, please call your doctor to be safe.
With two babies inside me, my heart rate was practically running a marathon even when I was just sitting on the sofa! 120 can be normal due to the extra load, but if you feel dizzy or breathless with it, please check with your doctor immediately.