Are there any known inverse hash lookups for the zero string? Just wondering, are there any known inverse hashes / hash lookups in common hashes (md5, sha1, sha2, etc.) for the zero string hash value? (i.e. bytes 0x00 00 00 00 00 ...)

Or more specifically, for a 128bit hash (like MD5 or SHA1):


HASH(x) = 0x00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00


Obviously it would take reverse hash lookup, or a rainbow table...
The 2-pass Snefru hash of the one-block message

79F6A75E 0397C368 F60C88DE 3133A55E 6D00251C 8ED3567B
CA49F82B A32E5DC4 8F86E479 DD3FF4D6 14DD88C1 A2322E00


is all zeros[1].

However, no other major hash function (and it's debatable whether 2-pass Snefru counts as major) with advertised collision and preimage resistance has ever had its preimage resistance broken[2] (archived), not even MD5[3].  If anyone found a preimage of zero under MD5, SHA-1, SHA-2, SHA-3, BLAKE2, etc., it would be quite astonishing.