11021221120 has 288 divisors, whose sum is σ = 33171667200. Its totient is φ = 3486228480.

The previous prime is 11021221093. The next prime is 11021221139. The reversal of 11021221120 is 2112212011.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11021221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5706555 + ... + 5708485.

It is an arithmetic number, because the mean of its divisors is an integer number (115179400).

Almost surely, 2^11021221120 is an apocalyptic number.

11021221120 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 11021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585833600).

11021221120 is an abundant number, since it is smaller than the sum of its proper divisors (22150446080).

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

11021221120 is an equidigital number, since it uses as much as digits as its factorization.

11021221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11021221120 its reverse (2112212011), we get a palindrome (13133433131).

The spelling of 11021221120 in words is "eleven billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".