Change Mail Server IP
Sometimes your server’s IP address may get black listed by most of RBLs. In such situation a quick solution is to route the emails through a secondary IP address on the same server which is not black listed. There are two options to switch the mail server IP.

1. In Cpanel:
Login to WHM
Click Exim Configuration Editor
Check the box next to:
“Send outgoing mail from the ip that matches the domain name in /etc/mailips (*: IP can be added to the file to change the main outgoing interface)”
Save Changes
Then edit the file /etc/mailips
[root@server ~]# vi /etc/mailips
and add:
*: newIP
Restart exim
or
2. Through Shell
[root@server ~]# vi /etc/exim.conf
Locate remote_smtp
Change as per below:
remote_smtp:
driver = smtp
#interface = ${if exists {/etc/mailips}{${lookup{$sender_address_domain}lsearch{/etc/mailips}{$value}{}}}{}}
#helo_data = ${if exists {/etc/mailhelo}{${lookup{$sender_address_domain}lsearch{/etc/mailhelo}{$value}{$primary_hostname}}}{$primary_ho stname}}
interface = 111.222.333.444 # Change to your server IP address.
Save changes and exit.
Restart Exim