2122021120 has 72 divisors (see below), whose sum is σ = 5117031360. Its totient is φ = 843110400.

The previous prime is 2122021117. The next prime is 2122021127. The reversal of 2122021120 is 211202212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2122021120.

It is not an unprimeable number, because it can be changed into a prime (2122021127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 187791 + ... + 198769.

It is an arithmetic number, because the mean of its divisors is an integer number (71069880).

Almost surely, 2^2122021120 is an apocalyptic number.

2122021120 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 2122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558515680).

2122021120 is an abundant number, since it is smaller than the sum of its proper divisors (2995010240).

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

2122021120 is a wasteful number, since it uses less digits than its factorization.

2122021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11151 (or 11137 counting only the distinct ones).

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

The square root of 2122021120 is about 46065.4004649911. The cubic root of 2122021120 is about 1285.0397662147.

Adding to 2122021120 its reverse (211202212), we get a palindrome (2333223332).

The spelling of 2122021120 in words is "two billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".