T-SQL query to get the Full text catalogs associated with a database

Here is a T-SQL query to get the Full text catalogs associated with a particular database

Use <Database Name>
SELECT DB_Name() AS DatabaseName, name 
FROM sys.fulltext_catalogs;
GO

To get the Full text catalogs associated with all databases in a instance, use the above query with sp_msforeachdb

Exec sp_msforeachdb '
USE [?];
SELECT DB_Name() AS DatabaseName, name 
FROM sys.fulltext_catalogs;'
GO