2121221120 has 88 divisors (see below), whose sum is σ = 5185116504. Its totient is φ = 832372736.

The previous prime is 2121221111. The next prime is 2121221129. The reversal of 2121221120 is 211221212.

It is an interprime number because it is at equal distance from previous prime (2121221111) and next prime (2121221129).

It can be written as a sum of positive squares in 4 ways, for example, as 9634816 + 2111586304 = 3104^2 + 45952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2121221095 and 2121221104.

It is not an unprimeable number, because it can be changed into a prime (2121221129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267452 + ... + 275268.

Almost surely, 2^2121221120 is an apocalyptic number.

2121221120 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 2121221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592558252).

2121221120 is an abundant number, since it is smaller than the sum of its proper divisors (3063895384).

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

2121221120 is an equidigital number, since it uses as much as digits as its factorization.

2121221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7895 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2121221120 is about 46056.7163397479. The cubic root of 2121221120 is about 1284.8782596492.

Adding to 2121221120 its reverse (211221212), we get a palindrome (2332442332).

The spelling of 2121221120 in words is "two billion, one hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".