211201222000 has 80 divisors (see below), whose sum is σ = 510933226752. Its totient is φ = 84439353600.

The previous prime is 211201221961. The next prime is 211201222009. The reversal of 211201222000 is 222102112.

It is a happy number.

211201222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201222009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4261362 + ... + 4310638.

Almost surely, 2^211201222000 is an apocalyptic number.

211201222000 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 211201222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255466613376).

211201222000 is an abundant number, since it is smaller than the sum of its proper divisors (299732004752).

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

211201222000 is a wasteful number, since it uses less digits than its factorization.

211201222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51443 (or 51427 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211201222000 its reverse (222102112), we get a palindrome (211423324112).

The spelling of 211201222000 in words is "two hundred eleven billion, two hundred one million, two hundred twenty-two thousand".