21223223023200 has 288 divisors, whose sum is σ = 75549707759232. Its totient is φ = 5132190720000.

The previous prime is 21223223023153. The next prime is 21223223023229. The reversal of 21223223023200 is 232032232212.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9584019 + ... + 11588781.

It is an arithmetic number, because the mean of its divisors is an integer number (262325374164).

Almost surely, 2^{21223223023200} is an apocalyptic number.

21223223023200 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 21223223023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37774853879616).

21223223023200 is an abundant number, since it is smaller than the sum of its proper divisors (54326484736032).

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

21223223023200 is a wasteful number, since it uses less digits than its factorization.

21223223023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005198 (or 2005185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21223223023200 its reverse (232032232212), we get a palindrome (21455255255412).

The spelling of 21223223023200 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred twenty-three million, twenty-three thousand, two hundred".