22120300224 has 336 divisors, whose sum is σ = 71608651296. Its totient is φ = 6469632000.

The previous prime is 22120300219. The next prime is 22120300231. The reversal of 22120300224 is 42200302122.

22120300224 is a `hidden beast` number, since 22 + 120 + 300 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22120300197 and 22120300206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36805524 + ... + 36806124.

It is an arithmetic number, because the mean of its divisors is an integer number (213120986).

Almost surely, 2^22120300224 is an apocalyptic number.

22120300224 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 22120300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35804325648).

22120300224 is an abundant number, since it is smaller than the sum of its proper divisors (49488351072).

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

22120300224 is a wasteful number, since it uses less digits than its factorization.

22120300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22120300224 its reverse (42200302122), we get a palindrome (64320602346).

The spelling of 22120300224 in words is "twenty-two billion, one hundred twenty million, three hundred thousand, two hundred twenty-four".