211022122212000 has 1536 divisors, whose sum is σ = 848577635942400. Its totient is φ = 50510573568000.

The previous prime is 211022122211981. The next prime is 211022122212023. The reversal of 211022122212000 is 212221220112.

It is a happy number.

211022122212000 is a `hidden beast` number, since 21 + 1 + 0 + 221 + 2 + 221 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55198042089 + ... + 55198045911.

It is an arithmetic number, because the mean of its divisors is an integer number (552459398400).

Almost surely, 2^{211022122212000} is an apocalyptic number.

211022122212000 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 211022122212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424288817971200).

211022122212000 is an abundant number, since it is smaller than the sum of its proper divisors (637555513730400).

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

211022122212000 is a wasteful number, since it uses less digits than its factorization.

211022122212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4444 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211022122212000 its reverse (212221220112), we get a palindrome (211234343432112).

The spelling of 211022122212000 in words is "two hundred eleven trillion, twenty-two billion, one hundred twenty-two million, two hundred twelve thousand".