11022221120 has 112 divisors (see below), whose sum is σ = 27212544000. Its totient is φ = 4247900160.

The previous prime is 11022221087. The next prime is 11022221137. The reversal of 11022221120 is 2112222011.

11022221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11022221095 and 11022221104.

It is a congruent number.

It is an unprimeable number.

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, 2368556 + ... + 2373204.

Almost surely, 2^11022221120 is an apocalyptic number.

11022221120 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 11022221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606272000).

11022221120 is an abundant number, since it is smaller than the sum of its proper divisors (16190322880).

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

11022221120 is a wasteful number, since it uses less digits than its factorization.

11022221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11022221120 its reverse (2112222011), we get a palindrome (13134443131).

It can be divided in two parts, 1102 and 2221120, that added together give a palindrome (2222222).

The spelling of 11022221120 in words is "eleven billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty".