2222221000120 has 256 divisors, whose sum is σ = 5856317107200. Its totient is φ = 749952000000.

The previous prime is 2222221000117. The next prime is 2222221000123. The reversal of 2222221000120 is 210001222222.

2222221000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2222221000117) and next prime (2222221000123).

It is a junction number, because it is equal to n+sod(n) for n = 2222221000094 and 2222221000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222221000123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189619621 + ... + 189631339.

It is an arithmetic number, because the mean of its divisors is an integer number (22876238700).

Almost surely, 2^{2222221000120} is an apocalyptic number.

2222221000120 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 2222221000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928158553600).

2222221000120 is an abundant number, since it is smaller than the sum of its proper divisors (3634096107080).

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

2222221000120 is a wasteful number, since it uses less digits than its factorization.

2222221000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110 (or 12106 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2222221000120 its reverse (210001222222), we get a palindrome (2432222222342).

The spelling of 2222221000120 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.