11001120011008 has 144 divisors (see below), whose sum is σ = 23454128839680. Its totient is φ = 5137463181312.

The previous prime is 11001120010987. The next prime is 11001120011009. The reversal of 11001120011008 is 80011002110011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11001120010982 and 11001120011000.

It is not an unprimeable number, because it can be changed into a prime (11001120011009) 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, 1397318560 + ... + 1397326432.

It is an arithmetic number, because the mean of its divisors is an integer number (162875894720).

Almost surely, 2^{11001120011008} 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 11001120011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727064419840).

11001120011008 is an abundant number, since it is smaller than the sum of its proper divisors (12453008828672).

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

11001120011008 is an equidigital number, since it uses as much as digits as its factorization.

11001120011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13474 (or 13460 counting only the distinct ones).

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

Adding to 11001120011008 its reverse (80011002110011), we get a palindrome (91012122121019).

The spelling of 11001120011008 in words is "eleven trillion, one billion, one hundred twenty million, eleven thousand, eight".