1311120000 has 320 divisors, whose sum is σ = 4843449600. Its totient is φ = 349056000.

The previous prime is 1311119959. The next prime is 1311120001. The reversal of 1311120000 is 211131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1311120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159697 + ... + 2160303.

It is an arithmetic number, because the mean of its divisors is an integer number (15135780).

Almost surely, 2^1311120000 is an apocalyptic number.

1311120000 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 1311120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421724800).

1311120000 is an abundant number, since it is smaller than the sum of its proper divisors (3532329600).

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

1311120000 is an frugal number, since it uses more digits than its factorization.

1311120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1311120000 is about 36209.3910470751. The cubic root of 1311120000 is about 1094.4959211093.

Adding to 1311120000 its reverse (211131), we get a palindrome (1311331131).

The spelling of 1311120000 in words is "one billion, three hundred eleven million, one hundred twenty thousand".