1311284880 has 120 divisors (see below), whose sum is σ = 4555657080. Its totient is φ = 337612800.

The previous prime is 1311284869. The next prime is 1311284917. The reversal of 1311284880 is 884821131.

It can be written as a sum of positive squares in 4 ways, for example, as 8363664 + 1302921216 = 2892^2 + 36096^2 .

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

It is a super-2 number, since 2×1311284880² = 3438936073033228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10521 + ... + 52280.

It is an arithmetic number, because the mean of its divisors is an integer number (37963809).

Almost surely, 2^1311284880 is an apocalyptic number.

1311284880 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 1311284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277828540).

1311284880 is an abundant number, since it is smaller than the sum of its proper divisors (3244372200).

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

1311284880 is a wasteful number, since it uses less digits than its factorization.

1311284880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62849 (or 62840 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1311284880 is about 36211.6677329283. The cubic root of 1311284880 is about 1094.5417986602.

The spelling of 1311284880 in words is "one billion, three hundred eleven million, two hundred eighty-four thousand, eight hundred eighty".