11121440144 has 20 divisors (see below), whose sum is σ = 22290818460. Its totient is φ = 5368970880.

The previous prime is 11121440093. The next prime is 11121440147. The reversal of 11121440144 is 44104412111.

11121440144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4410553744 + 6710886400 = 66412^2 + 81920^2 .

It is not an unprimeable number, because it can be changed into a prime (11121440147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11983847 + ... + 11984774.

It is an arithmetic number, because the mean of its divisors is an integer number (1114540923).

Almost surely, 2^11121440144 is an apocalyptic number.

It is an amenable number.

11121440144 is an abundant number, since it is smaller than the sum of its proper divisors (11169378316).

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

11121440144 is a wasteful number, since it uses less digits than its factorization.

11121440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23968658 (or 23968652 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 11121440144 its reverse (44104412111), we get a palindrome (55225852255).

The spelling of 11121440144 in words is "eleven billion, one hundred twenty-one million, four hundred forty thousand, one hundred forty-four".