2001220222120 has 128 divisors (see below), whose sum is σ = 5284664985600. Its totient is φ = 667726848000.

The previous prime is 2001220222117. The next prime is 2001220222129. The reversal of 2001220222120 is 212220221002.

It is a junction number, because it is equal to n+sod(n) for n = 2001220222094 and 2001220222103.

It is not an unprimeable number, because it can be changed into a prime (2001220222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4386121 + ... + 4820839.

It is an arithmetic number, because the mean of its divisors is an integer number (41286445200).

Almost surely, 2^{2001220222120} is an apocalyptic number.

2001220222120 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 2001220222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642332492800).

2001220222120 is an abundant number, since it is smaller than the sum of its proper divisors (3283444763480).

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

2001220222120 is a wasteful number, since it uses less digits than its factorization.

2001220222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435179 (or 435175 counting only the distinct ones).

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

Adding to 2001220222120 its reverse (212220221002), we get a palindrome (2213440443122).

The spelling of 2001220222120 in words is "two trillion, one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred twenty".