2120002222120 has 16 divisors (see below), whose sum is σ = 4770004999860. Its totient is φ = 848000888832.

The previous prime is 2120002222097. The next prime is 2120002222123. The reversal of 2120002222120 is 212222000212.

It can be written as a sum of positive squares in 2 ways, for example, as 2087556846244 + 32445375876 = 1444838^2 + 180126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120002222094 and 2120002222103.

It is not an unprimeable number, because it can be changed into a prime (2120002222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26500027737 + ... + 26500027816.

Almost surely, 2^{2120002222120} is an apocalyptic number.

2120002222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120002222120 is an abundant number, since it is smaller than the sum of its proper divisors (2650002777740).

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

2120002222120 is a wasteful number, since it uses less digits than its factorization.

2120002222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53000055564 (or 53000055560 counting only the distinct ones).

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

Adding to 2120002222120 its reverse (212222000212), we get a palindrome (2332224222332).

The spelling of 2120002222120 in words is "two trillion, one hundred twenty billion, two million, two hundred twenty-two thousand, one hundred twenty".