21212200133322 has 192 divisors, whose sum is σ = 49723893273600. Its totient is φ = 5971442526720.

The previous prime is 21212200133303. The next prime is 21212200133323. The reversal of 21212200133322 is 22333100221212.

It is a super-3 number, since 3×21212200133322³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21212200133292 and 21212200133301.

It is not an unprimeable number, because it can be changed into a prime (21212200133323) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1182453829 + ... + 1182471767.

It is an arithmetic number, because the mean of its divisors is an integer number (258978610800).

Almost surely, 2^{21212200133322} is an apocalyptic number.

21212200133322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212200133322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24861946636800).

21212200133322 is an abundant number, since it is smaller than the sum of its proper divisors (28511693140278).

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

21212200133322 is a wasteful number, since it uses less digits than its factorization.

21212200133322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18621 (or 18584 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 21212200133322 its reverse (22333100221212), we get a palindrome (43545300354534).

The spelling of 21212200133322 in words is "twenty-one trillion, two hundred twelve billion, two hundred million, one hundred thirty-three thousand, three hundred twenty-two".