11011000221120 has 448 divisors, whose sum is σ = 38227044151296. Its totient is φ = 2673238671360.

The previous prime is 11011000221119. The next prime is 11011000221139. The reversal of 11011000221120 is 2112200011011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11011000221096 and 11011000221105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025195042 + ... + 2025200478.

It is an arithmetic number, because the mean of its divisors is an integer number (85328223552).

Almost surely, 2^{11011000221120} is an apocalyptic number.

11011000221120 is a gapful number since it is divisible by the number (10) 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 11011000221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19113522075648).

11011000221120 is an abundant number, since it is smaller than the sum of its proper divisors (27216043930176).

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

11011000221120 is a wasteful number, since it uses less digits than its factorization.

11011000221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11011000221120 its reverse (2112200011011), we get a palindrome (13123200232131).

The spelling of 11011000221120 in words is "eleven trillion, eleven billion, two hundred twenty-one thousand, one hundred twenty".