The situation is as follows:

I have a substantial number of tables, with each a substantial number of columns. I need to deal with this old and to-be-deprecated database for a new system, and I'm looking for a way to eliminate all columns that have - apparently - never been in use.

I wanna do this by filtering out all columns that have a value on any given row, leaving me with a set of columns where the value is NULL in all rows. Of course I could manually sort every column descending, but that'd take too long as I'm dealing with loads of tables and columns. I estimate it to be 400 tables with up to 50 (!) columns per table.

Is there any way I can get this information from the information_schema?

EDIT:

Here's an example:

column_a    column_b    column_c    column_d
NULL        NULL        NULL        1
NULL        1           NULL        1
NULL        1           NULL        NULL
NULL        NULL        NULL        NULL

The output should be 'column_a' and 'column_c', for being the only columns without any filled in values.