1311147120 has 120 divisors (see below), whose sum is σ = 4129516944. Its totient is φ = 344137728.

The previous prime is 1311147119. The next prime is 1311147169. The reversal of 1311147120 is 217411131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076752 + ... + 1077968.

Almost surely, 2^1311147120 is an apocalyptic number.

1311147120 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 1311147120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064758472).

1311147120 is an abundant number, since it is smaller than the sum of its proper divisors (2818369824).

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

1311147120 is a wasteful number, since it uses less digits than its factorization.

1311147120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 1311147120 is about 36209.7655336237. The cubic root of 1311147120 is about 1094.5034674627.

Adding to 1311147120 its reverse (217411131), we get a palindrome (1528558251).

The spelling of 1311147120 in words is "one billion, three hundred eleven million, one hundred forty-seven thousand, one hundred twenty".