22402231324200 has 864 divisors, whose sum is σ = 93730849056000. Its totient is φ = 4694835824640.

The previous prime is 22402231324199. The next prime is 22402231324259. The reversal of 22402231324200 is 242313220422.

22402231324200 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 2 + 231 + 3 + 2 + 420 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 317245297 + ... + 317315903.

It is an arithmetic number, because the mean of its divisors is an integer number (108484779000).

Almost surely, 2^{22402231324200} is an apocalyptic number.

22402231324200 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 22402231324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46865424528000).

22402231324200 is an abundant number, since it is smaller than the sum of its proper divisors (71328617731800).

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

22402231324200 is a wasteful number, since it uses less digits than its factorization.

22402231324200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70811 (or 70786 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22402231324200 its reverse (242313220422), we get a palindrome (22644544544622).

The spelling of 22402231324200 in words is "twenty-two trillion, four hundred two billion, two hundred thirty-one million, three hundred twenty-four thousand, two hundred".