11002221120 has 448 divisors, whose sum is σ = 40260519936. Its totient is φ = 2519531520.

The previous prime is 11002221103. The next prime is 11002221121. The reversal of 11002221120 is 2112220011.

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 = 11002221096 and 11002221105.

It is not an unprimeable number, because it can be changed into a prime (11002221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23559127 + ... + 23559593.

It is an arithmetic number, because the mean of its divisors is an integer number (89867232).

Almost surely, 2^11002221120 is an apocalyptic number.

11002221120 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 11002221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20130259968).

11002221120 is an abundant number, since it is smaller than the sum of its proper divisors (29258298816).

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

11002221120 is a wasteful number, since it uses less digits than its factorization.

11002221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11002221120 its reverse (2112220011), we get a palindrome (13114441131).

The spelling of 11002221120 in words is "eleven billion, two million, two hundred twenty-one thousand, one hundred twenty".