22400123200 has 336 divisors, whose sum is σ = 70797968640. Its totient is φ = 6780026880.

The previous prime is 22400123191. The next prime is 22400123233. The reversal of 22400123200 is 232100422.

It is a Harshad number since it is a multiple of its sum of digits (16).

22400123200 is a modest number, since divided by 123200 gives 22400 as remainder.

It is a congruent number.

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, 3345456 + ... + 3352144.

It is an arithmetic number, because the mean of its divisors is an integer number (210708240).

Almost surely, 2^22400123200 is an apocalyptic number.

22400123200 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 22400123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35398984320).

22400123200 is an abundant number, since it is smaller than the sum of its proper divisors (48397845440).

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

22400123200 is a wasteful number, since it uses less digits than its factorization.

22400123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6739 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22400123200 its reverse (232100422), we get a palindrome (22632223622).

The spelling of 22400123200 in words is "twenty-two billion, four hundred million, one hundred twenty-three thousand, two hundred".