main shared IP showing user's site

First off, is there any way to make the main shared IP different from the one I use to access the WHM? This isn't' a problem, just a preference.

The actual problem here is that if someone looks up the IP for a site, then visits that IP, they will see the website of a different client on our server. This also happens if someone visits mail.domain.com via http. I would much rather return a "There is no website configured at this address" page in this case.

Thank you.

 

Thanks for your help. I peiced together what to do based on your suggestions.

The

Code:

NameVirtualHost x.x.x.x:80

was already in my httpd.conf.
I needed to add

Code:

<VirtualHost 123.123.123.123>
ServerAlias 123.123.123.123
ServerAdmin admin@domain.com
DocumentRoot /usr/local/cpanel/htdocs
BytesLog domlogs/123.123.123.123-bytes_log
ServerName 123.123.123.123
CustomLog domlogs/123.123.123.123.com combined
</VirtualHost>

to httpd.conf, and I was good to go.
I think this would be a good thing to have set by default. It'd weird out some nosy user if he found out his site's IP, browsed to it, and saw someone else's site.