23221321200 has 720 divisors, whose sum is σ = 105780729600. Its totient is φ = 4570214400.

The previous prime is 23221321199. The next prime is 23221321229. The reversal of 23221321200 is 212312232.

23221321200 is a `hidden beast` number, since 2 + 322 + 1 + 321 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 5264596 + ... + 5269004.

It is an arithmetic number, because the mean of its divisors is an integer number (146917680).

Almost surely, 2^23221321200 is an apocalyptic number.

23221321200 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 23221321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52890364800).

23221321200 is an abundant number, since it is smaller than the sum of its proper divisors (82559408400).

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

23221321200 is a wasteful number, since it uses less digits than its factorization.

23221321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4456 counting only the distinct ones).

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

Adding to 23221321200 its reverse (212312232), we get a palindrome (23433633432).

The spelling of 23221321200 in words is "twenty-three billion, two hundred twenty-one million, three hundred twenty-one thousand, two hundred".