2120213120 has 32 divisors (see below), whose sum is σ = 5068636020. Its totient is φ = 848084992.

The previous prime is 2120213119. The next prime is 2120213141. The reversal of 2120213120 is 213120212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1775442496 + 344770624 = 42136^2 + 18568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2120213095 and 2120213104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1655777 + ... + 1657056.

Almost surely, 2^2120213120 is an apocalyptic number.

2120213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120213120 is an abundant number, since it is smaller than the sum of its proper divisors (2948422900).

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

2120213120 is an equidigital number, since it uses as much as digits as its factorization.

2120213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312852 (or 3312840 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2120213120 is about 46045.7720100337. The cubic root of 2120213120 is about 1284.6747035498.

Adding to 2120213120 its reverse (213120212), we get a palindrome (2333333332).

The spelling of 2120213120 in words is "two billion, one hundred twenty million, two hundred thirteen thousand, one hundred twenty".