Weird Arduino timer behaviour

I am trying to output something every one second with the following code.

volatile uint64_t timerCounts = 0;
double timenow,pretime;
void setup()
  {
     Serial.begin(19600);
     noInterrupts();
     TCCR2A = TCCR2B = 0;
     TCNT2 = 0;
     OCR2A = 124; //Zero Relative 125
     TCCR2B = B00001101;  //prescaler = 1024
     TIMSK2 |= (1 << OCIE1A);
     interrupts();

     Serial.print("Begin... \n");
  }

  //**********************************************************************
  //  Timer2 Interrupt Service is invoked by hardware Timer 2 every 0.008s
  //  16Mhz / 125 / 1024 = 125 Hz    0.008s

  ISR(TIMER2_COMPA_vect)
  {
     timerCounts++;
     if (timerCounts == 125){
        Serial.print("1s");
        timerCounts = 0;
     }
  }  // end of TIMER2_COMPA_vect

  void loop()
  {

  }

In the above code, I have set the OCR2A(output compare register) to 124``, which is well below 256(2^8). A user defined counter is also used.

However, when I execute the programme, the interval between consecutive outputs is less than 1 second.

When I change it to timer 1, the interval becomes roughly 1 second. When I change it to timer 0, the interval becomes longer than 1 second.

Anyone knows why?

Thanks.