2121241224 has 64 divisors (see below), whose sum is σ = 5425367040. Its totient is φ = 690831680.

The previous prime is 2121241223. The next prime is 2121241259. The reversal of 2121241224 is 4221421212.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2121241224.

It is not an unprimeable number, because it can be changed into a prime (2121241223) 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, 836839 + ... + 839369.

It is an arithmetic number, because the mean of its divisors is an integer number (84771360).

Almost surely, 2^2121241224 is an apocalyptic number.

2121241224 is a gapful number since it is divisible by the number (24) 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 2121241224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712683520).

2121241224 is an abundant number, since it is smaller than the sum of its proper divisors (3304125816).

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

2121241224 is a wasteful number, since it uses less digits than its factorization.

2121241224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3326 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 2121241224 is about 46056.9345918723. The cubic root of 2121241224 is about 1284.8823188066.

Adding to 2121241224 its reverse (4221421212), we get a palindrome (6342662436).

The spelling of 2121241224 in words is "two billion, one hundred twenty-one million, two hundred forty-one thousand, two hundred twenty-four".