2210222200120 has 256 divisors, whose sum is σ = 5595520798080. Its totient is φ = 778973184000.

The previous prime is 2210222200117. The next prime is 2210222200127. The reversal of 2210222200120 is 210022220122.

It is a junction number, because it is equal to n+sod(n) for n = 2210222200094 and 2210222200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210222200127) 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, 444441954 + ... + 444446926.

Almost surely, 2^{2210222200120} is an apocalyptic number.

2210222200120 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 2210222200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797760399040).

2210222200120 is an abundant number, since it is smaller than the sum of its proper divisors (3385298597960).

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

2210222200120 is a wasteful number, since it uses less digits than its factorization.

2210222200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5302 counting only the distinct ones).

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

Adding to 2210222200120 its reverse (210022220122), we get a palindrome (2420244420242).

It can be divided in two parts, 22102 and 22200120, that added together give a palindrome (22222222).

The spelling of 2210222200120 in words is "two trillion, two hundred ten billion, two hundred twenty-two million, two hundred thousand, one hundred twenty".