Copenhagen Airport (airport
code CPH) is a major North European air hub with direct flights to
most larger European cities and several destinations in North America
and East Asia.
The airport is conveniently located a 12-minute train trip from
the city center.
Copenhagen has approximately bi-hourly train connections to Hamburg
during the day, and several trains to Stockholm and Oslo.
Overnight trains go to and from Cologne and Munich.
Frequent Scandinavian connections are available with a change in Malmö.
The best online source for European train schedules is the
HaCon travel planner.
It knows Copenhagen as "Koebenhavn H".
Getting international train fare information online seems to
be impossible, but try calling DSB
International at +45 70 13 14 16.