22123021300200 has 288 divisors, whose sum is σ = 76417358317560. Its totient is φ = 5731536844800.

The previous prime is 22123021300189. The next prime is 22123021300213. The reversal of 22123021300200 is 200312032122.

22123021300200 is a `hidden beast` number, since 2 + 21 + 230 + 213 + 0 + 0 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 17377742870244 + 4745278429956 = 4168662^2 + 2178366^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44842870 + ... + 45333530.

Almost surely, 2^{22123021300200} is an apocalyptic number.

22123021300200 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 22123021300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208679158780).

22123021300200 is an abundant number, since it is smaller than the sum of its proper divisors (54294337017360).

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

22123021300200 is a wasteful number, since it uses less digits than its factorization.

22123021300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491397 (or 491385 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123021300200 its reverse (200312032122), we get a palindrome (22323333332322).

The spelling of 22123021300200 in words is "twenty-two trillion, one hundred twenty-three billion, twenty-one million, three hundred thousand, two hundred".