211988221200 has 480 divisors, whose sum is σ = 907700633600. Its totient is φ = 45903905280.

The previous prime is 211988221187. The next prime is 211988221213. The reversal of 211988221200 is 2122889112.

211988221200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211988221187) and next prime (211988221213).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 1362609 + ... + 1510191.

Almost surely, 2^211988221200 is an apocalyptic number.

211988221200 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 211988221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453850316800).

211988221200 is an abundant number, since it is smaller than the sum of its proper divisors (695712412400).

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

211988221200 is a wasteful number, since it uses less digits than its factorization.

211988221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147636 (or 147619 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 211988221200 in words is "two hundred eleven billion, nine hundred eighty-eight million, two hundred twenty-one thousand, two hundred".