211220800 has 84 divisors (see below), whose sum is σ = 594014560. Its totient is φ = 72414720.

The previous prime is 211220771. The next prime is 211220803. The reversal of 211220800 is 8022112.

It is a super-2 number, since 2×211220800² = 89228452705280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1771 + ... + 20629.

Almost surely, 2^211220800 is an apocalyptic number.

211220800 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 211220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297007280).

211220800 is an abundant number, since it is smaller than the sum of its proper divisors (382793760).

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

211220800 is a wasteful number, since it uses less digits than its factorization.

211220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18888 (or 18873 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 211220800 is about 14533.4373084966. The cubic root of 211220800 is about 595.5417705117.

Adding to 211220800 its reverse (8022112), we get a palindrome (219242912).

The spelling of 211220800 in words is "two hundred eleven million, two hundred twenty thousand, eight hundred".