1317051120 has 640 divisors, whose sum is σ = 5576785920. Its totient is φ = 250905600.

The previous prime is 1317051083. The next prime is 1317051121. The reversal of 1317051120 is 211507131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317051121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42485505 + ... + 42485535.

It is an arithmetic number, because the mean of its divisors is an integer number (8713728).

Almost surely, 2^1317051120 is an apocalyptic number.

1317051120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788392960).

1317051120 is an abundant number, since it is smaller than the sum of its proper divisors (4259734800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1317051120 is a wasteful number, since it uses less digits than its factorization.

1317051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1317051120 is about 36291.1989330747. The cubic root of 1317051120 is about 1096.1438309116.

Adding to 1317051120 its reverse (211507131), we get a palindrome (1528558251).

The spelling of 1317051120 in words is "one billion, three hundred seventeen million, fifty-one thousand, one hundred twenty".