11228128128 has 576 divisors, whose sum is σ = 41041026000. Its totient is φ = 2934392832.

The previous prime is 11228128123. The next prime is 11228128133. The reversal of 11228128128 is 82182182211.

11228128128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11228128123) and next prime (11228128133).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×11228128128² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11228128092 and 11228128101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11228128123) 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 71 ways as a sum of consecutive naturals, for example, 387176818 + ... + 387176846.

Almost surely, 2^11228128128 is an apocalyptic number.

11228128128 is a gapful number since it is divisible by the number (18) 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 11228128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520513000).

11228128128 is an abundant number, since it is smaller than the sum of its proper divisors (29812897872).

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

11228128128 is an equidigital number, since it uses as much as digits as its factorization.

11228128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The spelling of 11228128128 in words is "eleven billion, two hundred twenty-eight million, one hundred twenty-eight thousand, one hundred twenty-eight".