22024322245200 has 240 divisors, whose sum is σ = 77041019255616. Its totient is φ = 5333955686400.

The previous prime is 22024322245199. The next prime is 22024322245207. The reversal of 22024322245200 is 254222342022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024322245207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12548052 + ... + 14195148.

Almost surely, 2^{22024322245200} is an apocalyptic number.

22024322245200 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 22024322245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38520509627808).

22024322245200 is an abundant number, since it is smaller than the sum of its proper divisors (55016697010416).

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

22024322245200 is a wasteful number, since it uses less digits than its factorization.

22024322245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648142 (or 1648131 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 22024322245200 its reverse (254222342022), we get a palindrome (22278544587222).

The spelling of 22024322245200 in words is "twenty-two trillion, twenty-four billion, three hundred twenty-two million, two hundred forty-five thousand, two hundred".