22300321200 has 480 divisors, whose sum is σ = 78912092160. Its totient is φ = 5358796800.

The previous prime is 22300321103. The next prime is 22300321229. The reversal of 22300321200 is 212300322.

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 22300321200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113199502 + ... + 113199698.

It is an arithmetic number, because the mean of its divisors is an integer number (164400192).

Almost surely, 2^22300321200 is an apocalyptic number.

22300321200 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 22300321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39456046080).

22300321200 is an abundant number, since it is smaller than the sum of its proper divisors (56611770960).

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

22300321200 is a wasteful number, since it uses less digits than its factorization.

22300321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22300321200 its reverse (212300322), we get a palindrome (22512621522).

The spelling of 22300321200 in words is "twenty-two billion, three hundred million, three hundred twenty-one thousand, two hundred".