2200120120 has 64 divisors (see below), whose sum is σ = 5427648000. Its totient is φ = 795991680.

The previous prime is 2200120079. The next prime is 2200120141. The reversal of 2200120120 is 210210022.

It is a Harshad number since it is a multiple of its sum of digits (10).

2200120120 is a modest number, since divided by 120120 gives 2200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2200120097 and 2200120106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74997 + ... + 100123.

It is an arithmetic number, because the mean of its divisors is an integer number (84807000).

Almost surely, 2^2200120120 is an apocalyptic number.

2200120120 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 2200120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713824000).

2200120120 is an abundant number, since it is smaller than the sum of its proper divisors (3227527880).

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

2200120120 is a wasteful number, since it uses less digits than its factorization.

2200120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25348 (or 25344 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2200120120 is about 46905.4380642586. The cubic root of 2200120120 is about 1300.6151171849.

Adding to 2200120120 its reverse (210210022), we get a palindrome (2410330142).

The spelling of 2200120120 in words is "two billion, two hundred million, one hundred twenty thousand, one hundred twenty".