How to encrypt a large file in openssl using public key

How can I encrypt a large file with a public key so that no one other than who has the private key be able to decrypt it?

I can make RSA public and private keys but when it comes to encrypting a large file using this command:

openssl rsautl -encrypt -pubin -inkey public.pem -in myLargeFile.xml -out myLargeFile_encrypted.xml

and how can i perform the decryption also....

i create my private and public key by the following commands

openssl genrsa -out private.pem 1024
openssl rsa -in private.pem -out public.pem -outform PEM -pubout

I get this error:

RSA operation error
3020:error:0406D06E:rsa routines:RSA_padding_add_PKCS1_type_2:data too large for key size:.\crypto\rsa\rsa_pk1.c:151:

I tried to make keys with sizes from 1024 to 1200 bits, no luck, same error