11144110120 has 96 divisors (see below), whose sum is σ = 29619911520. Its totient is φ = 3740655360.

The previous prime is 11144110091. The next prime is 11144110127. The reversal of 11144110120 is 2101144111.

It is a junction number, because it is equal to n+sod(n) for n = 11144110094 and 11144110103.

It is not an unprimeable number, because it can be changed into a prime (11144110127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 574 + ... + 149293.

It is an arithmetic number, because the mean of its divisors is an integer number (308540745).

Almost surely, 2^11144110120 is an apocalyptic number.

11144110120 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 11144110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14809955760).

11144110120 is an abundant number, since it is smaller than the sum of its proper divisors (18475801400).

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

11144110120 is a wasteful number, since it uses less digits than its factorization.

11144110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149915 (or 149898 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11144110120 its reverse (2101144111), we get a palindrome (13245254231).

The spelling of 11144110120 in words is "eleven billion, one hundred forty-four million, one hundred ten thousand, one hundred twenty".