Momentum of a body is defined as mass multiplied by its velocity. An body has stationery it has zero velocity and irrespective of its mass the body, its momentum is zero.
If we assume that the super tanker tied to dock is stationery, then its momentum will be zero, and a falling raindrop, in spite of its very small sizes and mass will have a small positive momentum. Therefore it will have momentum greater than that of the super tanker.
But the reality is that the super tanker in reality will have some oscillating or vibrating motion because of action of waves an water and other disturbances. This motion will be too small to be felt, but it will be there. Also, being oscillating motion the super tanker will not have a uniform velocity. Instead it will have velocity which changes in magnitude as well as direction. thus there may be instants when the super tanker has no velocity at all. At other times it will have some positive velocity. Thus the tanker will have a variable momentum. However chances are that average momentum of the tanker will be much more than that of a falling raindrop.
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