1311124320 has 480 divisors, whose sum is σ = 5354639136. Its totient is φ = 298598400.

The previous prime is 1311124291. The next prime is 1311124333. The reversal of 1311124320 is 234211131.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311124293 and 1311124302.

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 79 ways as a sum of consecutive naturals, for example, 2423250 + ... + 2423790.

Almost surely, 2^1311124320 is an apocalyptic number.

1311124320 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 1311124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2677319568).

1311124320 is an abundant number, since it is smaller than the sum of its proper divisors (4043514816).

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

1311124320 is a wasteful number, since it uses less digits than its factorization.

1311124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1311124320 is about 36209.4507000590. The cubic root of 1311124320 is about 1094.4971231903.

Adding to 1311124320 its reverse (234211131), we get a palindrome (1545335451).

The spelling of 1311124320 in words is "one billion, three hundred eleven million, one hundred twenty-four thousand, three hundred twenty".