11133242120 has 256 divisors, whose sum is σ = 33978631680. Its totient is φ = 3170304000.

The previous prime is 11133242089. The next prime is 11133242143. The reversal of 11133242120 is 2124233111.

11133242120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11133242092 and 11133242101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4042664 + ... + 4045416.

It is an arithmetic number, because the mean of its divisors is an integer number (132729030).

Almost surely, 2^11133242120 is an apocalyptic number.

11133242120 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 11133242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16989315840).

11133242120 is an abundant number, since it is smaller than the sum of its proper divisors (22845389560).

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

11133242120 is a wasteful number, since it uses less digits than its factorization.

11133242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2892 counting only the distinct ones).

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

Adding to 11133242120 its reverse (2124233111), we get a palindrome (13257475231).

Subtracting from 11133242120 its reverse (2124233111), we obtain a palindrome (9009009009).

The spelling of 11133242120 in words is "eleven billion, one hundred thirty-three million, two hundred forty-two thousand, one hundred twenty".