211111222000 has 160 divisors (see below), whose sum is σ = 585243434880. Its totient is φ = 72151142400.

The previous prime is 211111221977. The next prime is 211111222027. The reversal of 211111222000 is 222111112.

211111222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4414216 + ... + 4461784.

It is an arithmetic number, because the mean of its divisors is an integer number (3657771468).

Almost surely, 2^211111222000 is an apocalyptic number.

211111222000 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 211111222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292621717440).

211111222000 is an abundant number, since it is smaller than the sum of its proper divisors (374132212880).

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

211111222000 is a wasteful number, since it uses less digits than its factorization.

211111222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47916 (or 47900 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211111222000 its reverse (222111112), we get a palindrome (211333333112).

The spelling of 211111222000 in words is "two hundred eleven billion, one hundred eleven million, two hundred twenty-two thousand".