22321131222000 has 640 divisors, whose sum is σ = 78940567480320. Its totient is φ = 5392532275200.

The previous prime is 22321131221971. The next prime is 22321131222043. The reversal of 22321131222000 is 22213112322.

It is a super-3 number, since 3×22321131222000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3097142397 + ... + 3097149603.

It is an arithmetic number, because the mean of its divisors is an integer number (123344636688).

Almost surely, 2^{22321131222000} is an apocalyptic number.

22321131222000 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 22321131222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39470283740160).

22321131222000 is an abundant number, since it is smaller than the sum of its proper divisors (56619436258320).

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

22321131222000 is a wasteful number, since it uses less digits than its factorization.

22321131222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22321131222000 its reverse (22213112322), we get a palindrome (22343344334322).

The spelling of 22321131222000 in words is "twenty-two trillion, three hundred twenty-one billion, one hundred thirty-one million, two hundred twenty-two thousand".