211223313200 has 120 divisors (see below), whose sum is σ = 510123739872. Its totient is φ = 84047708160.

The previous prime is 211223313181. The next prime is 211223313251. The reversal of 211223313200 is 2313322112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73162157 + ... + 73165043.

Almost surely, 2^211223313200 is an apocalyptic number.

211223313200 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 211223313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255061869936).

211223313200 is an abundant number, since it is smaller than the sum of its proper divisors (298900426672).

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

211223313200 is a wasteful number, since it uses less digits than its factorization.

211223313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211223313200 its reverse (2313322112), we get a palindrome (213536635312).

The spelling of 211223313200 in words is "two hundred eleven billion, two hundred twenty-three million, three hundred thirteen thousand, two hundred".