Alright, let's work through 9962 times 6001 step by step
9962 × 6001 = 6001 × (9962)
+ 6001 × 2 producing 12002
+ 6001 × 60 yielding 360060
+ 6001 × 900 yielding 5400900
+ 6001 × 9000 producing 54009000

= 59781962
