2121022120 has 64 divisors (see below), whose sum is σ = 5466528000. Its totient is φ = 725544960.

The previous prime is 2121022109. The next prime is 2121022129. The reversal of 2121022120 is 212201212.

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 2121022120.

It is not an unprimeable number, because it can be changed into a prime (2121022129) 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 15 ways as a sum of consecutive naturals, for example, 117285 + ... + 134155.

It is an arithmetic number, because the mean of its divisors is an integer number (85414500).

Almost surely, 2^2121022120 is an apocalyptic number.

2121022120 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 2121022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733264000).

2121022120 is an abundant number, since it is smaller than the sum of its proper divisors (3345505880).

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

2121022120 is a wasteful number, since it uses less digits than its factorization.

2121022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17338 (or 17334 counting only the distinct ones).

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

The square root of 2121022120 is about 46054.5559092692. Note that the first 3 decimals coincide. The cubic root of 2121022120 is about 1284.8380785844.

Adding to 2121022120 its reverse (212201212), we get a palindrome (2333223332).

The spelling of 2121022120 in words is "two billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".