12220211120 has 80 divisors (see below), whose sum is σ = 30617644512. Its totient is φ = 4509112320.

The previous prime is 12220211071. The next prime is 12220211123. The reversal of 12220211120 is 2111202221.

12220211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12220211095 and 12220211104.

It is not an unprimeable number, because it can be changed into a prime (12220211123) 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 15 ways as a sum of consecutive naturals, for example, 2163500 + ... + 2169140.

Almost surely, 2^12220211120 is an apocalyptic number.

12220211120 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 12220211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15308822256).

12220211120 is an abundant number, since it is smaller than the sum of its proper divisors (18397433392).

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

12220211120 is a wasteful number, since it uses less digits than its factorization.

12220211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750 (or 7744 counting only the distinct ones).

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

Adding to 12220211120 its reverse (2111202221), we get a palindrome (14331413341).

The spelling of 12220211120 in words is "twelve billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".