211204421200 has 120 divisors (see below), whose sum is σ = 521468275680. Its totient is φ = 82145548800.

The previous prime is 211204421191. The next prime is 211204421201. The reversal of 211204421200 is 2124402112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211204421201) 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 23 ways as a sum of consecutive naturals, for example, 29285595 + ... + 29292805.

It is an arithmetic number, because the mean of its divisors is an integer number (4345568964).

Almost surely, 2^211204421200 is an apocalyptic number.

211204421200 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 211204421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260734137840).

211204421200 is an abundant number, since it is smaller than the sum of its proper divisors (310263854480).

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

211204421200 is a wasteful number, since it uses less digits than its factorization.

211204421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 211204421200 its reverse (2124402112), we get a palindrome (213328823312).

The spelling of 211204421200 in words is "two hundred eleven billion, two hundred four million, four hundred twenty-one thousand, two hundred".