SetInterval 60 second countdown issue jQuery

Question

I'm trying to countdown 60 seconds once I click the begin button and at 0 I don't want to just hide the counter, I want it to be reset. I ran into 2 problems: When I click the begin button again it's not starting over. The begin button is not disabled once I click it to start the countdown. While its counting down, when I press the begin button it accelerate the countdown. Any help is appreciated, here is the code:

function begin() {
    $('#begin').prop('disabled');
    myTimer = setInterval(function() {
      $('#timing').html(timing);
      if (timing === 0) {
        alert('Too late! Try again');
        clearInterval(myTimer);
        $('#timing').hide();
      }
      timing--;
    }, 1000);
  }