22121207824 has 75 divisors (see below), whose sum is σ = 45684420783. Its totient is φ = 10376734176.

The previous prime is 22121207821. The next prime is 22121207861. The reversal of 22121207824 is 42870212122.

The square root of 22121207824 is 148732.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22121207821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 214768957 + ... + 214769059.

Almost surely, 2^22121207824 is an apocalyptic number.

22121207824 is the 148732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121207824

22121207824 is an abundant number, since it is smaller than the sum of its proper divisors (23563212959).

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

22121207824 is an frugal number, since it uses more digits than its factorization.

22121207824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

Adding to 22121207824 its reverse (42870212122), we get a palindrome (64991419946).

The spelling of 22121207824 in words is "twenty-two billion, one hundred twenty-one million, two hundred seven thousand, eight hundred twenty-four".