2120221120 has 56 divisors (see below), whose sum is σ = 5057967024. Its totient is φ = 846544896.

The previous prime is 2120221073. The next prime is 2120221123. The reversal of 2120221120 is 211220212.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2120221120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178899 + ... + 190381.

Almost surely, 2^2120221120 is an apocalyptic number.

2120221120 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 2120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528983512).

2120221120 is an abundant number, since it is smaller than the sum of its proper divisors (2937745904).

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

2120221120 is a wasteful number, since it uses less digits than its factorization.

2120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2120221120 is about 46045.8588800339. The cubic root of 2120221120 is about 1284.6763193283.

Adding to 2120221120 its reverse (211220212), we get a palindrome (2331441332).

The spelling of 2120221120 in words is "two billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".