11141243120 has 80 divisors (see below), whose sum is σ = 29728097280. Its totient is φ = 3803826432.

The previous prime is 11141243093. The next prime is 11141243143. The reversal of 11141243120 is 2134214111.

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 = 11141243092 and 11141243101.

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 15 ways as a sum of consecutive naturals, for example, 92219 + ... + 175461.

It is an arithmetic number, because the mean of its divisors is an integer number (371601216).

Almost surely, 2^11141243120 is an apocalyptic number.

11141243120 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 11141243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864048640).

11141243120 is an abundant number, since it is smaller than the sum of its proper divisors (18586854160).

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

11141243120 is a wasteful number, since it uses less digits than its factorization.

11141243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83502 (or 83496 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11141243120 its reverse (2134214111), we get a palindrome (13275457231).

The spelling of 11141243120 in words is "eleven billion, one hundred forty-one million, two hundred forty-three thousand, one hundred twenty".