You can go to the Goodies page manually by visiting:

http://www.tumblr.com/goodies

There you can find the mail address hidden in the third row on the left.

To publish to your tumblr you can send an email to a private email address which can be found out by following these steps:

How do I find my email address for mobile + email publishing?

1. Click your blog's name at the top of your Dashboard or under the list icon at the top right.

2. Click "Blog settings" on the right side of the page.

3. You’ll find your private email address in the “Post by Email” section. (You can always reset this if you’re having issues publishing.)

The settings page has a URL looking like http://www.tumblr.com/blog/<name>/settings.

More information on post by email can be found in the tumblr help.