Zero Date Values & Converting Entire DB From MyISAM to InnoDB
It would be great if your provide the table schema and mention the column name. 

But you can follow this method to mitigate this. 


Get the table schema
Create a new table with the same schema, but the engine=InnoDB.
Insert into the new table using select * from the MyISAM table.
Rename the current table as tbl_older
Rename the new table as the actual name.