11144303120 has 80 divisors (see below), whose sum is σ = 26542676160. Its totient is φ = 4349194752.

The previous prime is 11144303099. The next prime is 11144303147. The reversal of 11144303120 is 2130344111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11144303092 and 11144303101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5630291 + ... + 5632269.

It is an arithmetic number, because the mean of its divisors is an integer number (331783452).

Almost surely, 2^11144303120 is an apocalyptic number.

11144303120 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 11144303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271338080).

11144303120 is an abundant number, since it is smaller than the sum of its proper divisors (15398373040).

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

11144303120 is a wasteful number, since it uses less digits than its factorization.

11144303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3666 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11144303120 its reverse (2130344111), we get a palindrome (13274647231).

The spelling of 11144303120 in words is "eleven billion, one hundred forty-four million, three hundred three thousand, one hundred twenty".