22122031200 has 144 divisors (see below), whose sum is σ = 72310371840. Its totient is φ = 5874373120.

The previous prime is 22122031199. The next prime is 22122031207. The reversal of 22122031200 is 213022122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22122031200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122031207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554317 + ... + 592883.

It is an arithmetic number, because the mean of its divisors is an integer number (502155360).

Almost surely, 2^22122031200 is an apocalyptic number.

22122031200 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 22122031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36155185920).

22122031200 is an abundant number, since it is smaller than the sum of its proper divisors (50188340640).

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

22122031200 is a wasteful number, since it uses less digits than its factorization.

22122031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38829 (or 38816 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22122031200 its reverse (213022122), we get a palindrome (22335053322).

The spelling of 22122031200 in words is "twenty-two billion, one hundred twenty-two million, thirty-one thousand, two hundred".