Assume the number to be x,

 Now 2/3 of 1/6 of 3/4 of  x would be (2/3) (1/6)(3/4) (x).

 

On simplifying this, it would be x/12

 

As per the given condition  x/12 =12

 

                                        Or, x= 12(12)

                                                =144

 

Thus the required number is 144

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