My dad learned this song in high school in Melbourne and would sing it to me growing up. I sing it all the time to my little ones, although the version I know seems to be slightly different.

"There lived in China a very fine man
His name was Chicka-wocka-ching-chong-chan
his ears were big and his feet were small
this little man couldn't walk at all.

Chicka-wocka ching chong chan chickaroni
alla-balla fat man oh-ko koni
itty bitty caterpillar
icka-bi icka-bi oh-ko-ko!"