2211000000120 has 288 divisors, whose sum is σ = 7392196440720. Its totient is φ = 573122304000.

The previous prime is 2211000000113. The next prime is 2211000000127. The reversal of 2211000000120 is 210000001122.

2211000000120 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 (2211000000113) and next prime (2211000000127).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211000000127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 982228995 + ... + 982231245.

Almost surely, 2^{2211000000120} is an apocalyptic number.

2211000000120 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 2211000000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696098220360).

2211000000120 is an abundant number, since it is smaller than the sum of its proper divisors (5181196440600).

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

2211000000120 is a wasteful number, since it uses less digits than its factorization.

2211000000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2211000000120 its reverse (210000001122), we get a palindrome (2421000001242).

The spelling of 2211000000120 in words is "two trillion, two hundred eleven billion, one hundred twenty", and thus it is an aban number.