20322323221200 has 960 divisors, whose sum is σ = 87462472710144. Its totient is φ = 3895464960000.

The previous prime is 20322323221117. The next prime is 20322323221229. The reversal of 20322323221200 is 212232322302.

It is a super-2 number, since 2×20322323221200² (a number of 27 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2235428655 + ... + 2235437745.

Almost surely, 2^{20322323221200} is an apocalyptic number.

20322323221200 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 20322323221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43731236355072).

20322323221200 is an abundant number, since it is smaller than the sum of its proper divisors (67140149488944).

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

20322323221200 is a wasteful number, since it uses less digits than its factorization.

20322323221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11004 (or 10993 counting only the distinct ones).

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

Adding to 20322323221200 its reverse (212232322302), we get a palindrome (20534555543502).

It can be divided in two parts, 2032 and 2323221200, that added together give a palindrome (2323223232).

The spelling of 20322323221200 in words is "twenty trillion, three hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-one thousand, two hundred".