11124140320 has 96 divisors (see below), whose sum is σ = 26825042160. Its totient is φ = 4357816320.

The previous prime is 11124140299. The next prime is 11124140353. The reversal of 11124140320 is 2304142111.

It can be written as a sum of positive squares in 8 ways, for example, as 2557527184 + 8566613136 = 50572^2 + 92556^2 .

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, 7470136 + ... + 7471624.

Almost surely, 2^11124140320 is an apocalyptic number.

11124140320 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 11124140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13412521080).

11124140320 is an abundant number, since it is smaller than the sum of its proper divisors (15700901840).

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

11124140320 is a wasteful number, since it uses less digits than its factorization.

11124140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11124140320 its reverse (2304142111), we get a palindrome (13428282431).

The spelling of 11124140320 in words is "eleven billion, one hundred twenty-four million, one hundred forty thousand, three hundred twenty".