21323000322000 has 960 divisors, whose sum is σ = 82645850327040. Its totient is φ = 5089817088000.

The previous prime is 21323000321993. The next prime is 21323000322097. The reversal of 21323000322000 is 22300032312.

It is a happy number.

21323000322000 is a `hidden beast` number, since 2 + 132 + 300 + 0 + 32 + 200 + 0 = 666.

It is a super-3 number, since 3×21323000322000³ (a number of 41 digits) contains 333 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2692634041 + ... + 2692641959.

It is an arithmetic number, because the mean of its divisors is an integer number (86089427424).

Almost surely, 2^{21323000322000} is an apocalyptic number.

21323000322000 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 21323000322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41322925163520).

21323000322000 is an abundant number, since it is smaller than the sum of its proper divisors (61322850005040).

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

21323000322000 is a wasteful number, since it uses less digits than its factorization.

21323000322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21323000322000 its reverse (22300032312), we get a palindrome (21345300354312).

The spelling of 21323000322000 in words is "twenty-one trillion, three hundred twenty-three billion, three hundred twenty-two thousand".