11201323128 has 64 divisors (see below), whose sum is σ = 29068139520. Its totient is φ = 3594403200.

The previous prime is 11201323117. The next prime is 11201323129. The reversal of 11201323128 is 82132310211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11201323098 and 11201323107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201323129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12588 + ... + 150203.

It is an arithmetic number, because the mean of its divisors is an integer number (454189680).

Almost surely, 2^11201323128 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 11201323128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534069760).

11201323128 is an abundant number, since it is smaller than the sum of its proper divisors (17866816392).

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

11201323128 is a wasteful number, since it uses less digits than its factorization.

11201323128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162908 (or 162904 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11201323128 its reverse (82132310211), we get a palindrome (93333633339).

The spelling of 11201323128 in words is "eleven billion, two hundred one million, three hundred twenty-three thousand, one hundred twenty-eight".