11223872128 has 128 divisors (see below), whose sum is σ = 26968636800. Its totient is φ = 4545331200.

The previous prime is 11223872123. The next prime is 11223872137. The reversal of 11223872128 is 82127832211.

11223872128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11223872123) 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 15 ways as a sum of consecutive naturals, for example, 10230876 + ... + 10231972.

It is an arithmetic number, because the mean of its divisors is an integer number (210692475).

Almost surely, 2^11223872128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11223872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484318400).

11223872128 is an abundant number, since it is smaller than the sum of its proper divisors (15744764672).

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

11223872128 is a wasteful number, since it uses less digits than its factorization.

11223872128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1726 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The spelling of 11223872128 in words is "eleven billion, two hundred twenty-three million, eight hundred seventy-two thousand, one hundred twenty-eight".