Rule 497(j)
                                             Reg. No. 33-44057
                                             Reg. No. 33-23931
                                             Reg. No. 33-28194
                                   

Pursuant to Rule 497 (j) promulgated under the Securities Act of 1933, the
Registrant, Dean Witter Select Municipal Trust, Insured California Series 57,
Insured California Intermediate Term Series 4 and Long Term Portfolio Series
120, hereby certifies as follows:

1)   the form of prospectus that would have been filed under
     paragraph (b) of Rule 497 does not differ from that
     contained in the most recent amendment to the registration
     statement, and

2)   the text of the said amendment to the registration statement
     has been filed electronically.

                         DEAN WITTER SELECT MUNICIPAL TRUST,
                         INSURED CALIFORNIA SERIES 57
                         INSURED CALIFORNIA INTERMEDIATE TERM               
SERIES 4
                         LONG TERM PORTFOLIO SERIES 120
                              
                         By:  Dean Witter Reynolds Inc.
                              (Depositor)


                              Michael D. Browne
                              Michael D. Browne
                              Authorized Signatory



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