22123432800 has 1440 divisors, whose sum is σ = 103448378880. Its totient is φ = 4478976000.

The previous prime is 22123432777. The next prime is 22123432811. The reversal of 22123432800 is 823432122.

22123432800 is a `hidden beast` number, since 221 + 2 + 3 + 432 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×22123432800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 146512725 + ... + 146512875.

It is an arithmetic number, because the mean of its divisors is an integer number (71839152).

Almost surely, 2^22123432800 is an apocalyptic number.

22123432800 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 22123432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51724189440).

22123432800 is an abundant number, since it is smaller than the sum of its proper divisors (81324946080).

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

22123432800 is a wasteful number, since it uses less digits than its factorization.

22123432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22123432800 its reverse (823432122), we get a palindrome (22946864922).

The spelling of 22123432800 in words is "twenty-two billion, one hundred twenty-three million, four hundred thirty-two thousand, eight hundred".