212221120211000 has 128 divisors (see below), whose sum is σ = 501603331320000. Its totient is φ = 84036237120000.

The previous prime is 212221120210991. The next prime is 212221120211059. The reversal of 212221120211000 is 112021122212.

It is a super-3 number, since 3×212221120211000³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 212221120211000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46323650 + ... + 50698350.

Almost surely, 2^{212221120211000} is an apocalyptic number.

212221120211000 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 212221120211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250801665660000).

212221120211000 is an abundant number, since it is smaller than the sum of its proper divisors (289382211109000).

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

212221120211000 is a wasteful number, since it uses less digits than its factorization.

212221120211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375210 (or 4375196 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212221120211000 its reverse (112021122212), we get a palindrome (212333141333212).

The spelling of 212221120211000 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred twenty million, two hundred eleven thousand".