2211120000220 has 96 divisors (see below), whose sum is σ = 4825400832000. Its totient is φ = 850170816000.

The previous prime is 2211120000109. The next prime is 2211120000227. The reversal of 2211120000220 is 220000211122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2211120000220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211120000227) 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 31 ways as a sum of consecutive naturals, for example, 74136471 + ... + 74166289.

It is an arithmetic number, because the mean of its divisors is an integer number (50264592000).

Almost surely, 2^{2211120000220} is an apocalyptic number.

2211120000220 is a gapful number since it is divisible by the number (20) 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 2211120000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412700416000).

2211120000220 is an abundant number, since it is smaller than the sum of its proper divisors (2614280831780).

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

2211120000220 is a wasteful number, since it uses less digits than its factorization.

2211120000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30659 (or 30657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2211120000220 its reverse (220000211122), we get a palindrome (2431120211342).

The spelling of 2211120000220 in words is "two trillion, two hundred eleven billion, one hundred twenty million, two hundred twenty", and thus it is an aban number.