22121411224 has 64 divisors (see below), whose sum is σ = 47293217280. Its totient is φ = 9602208000.

The previous prime is 22121411197. The next prime is 22121411267. The reversal of 22121411224 is 42211412122.

It is a Harshad number since it is a multiple of its sum of digits (22).

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

It is a junction number, because it is equal to n+sod(n) for n = 22121411195 and 22121411204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268484 + ... + 1285804.

It is an arithmetic number, because the mean of its divisors is an integer number (738956520).

Almost surely, 2^22121411224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121411224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23646608640).

22121411224 is an abundant number, since it is smaller than the sum of its proper divisors (25171806056).

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

22121411224 is a wasteful number, since it uses less digits than its factorization.

22121411224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17992 (or 17988 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

Adding to 22121411224 its reverse (42211412122), we get a palindrome (64332823346).

The spelling of 22121411224 in words is "twenty-two billion, one hundred twenty-one million, four hundred eleven thousand, two hundred twenty-four".