206123200 has 84 divisors (see below), whose sum is σ = 518172192. Its totient is φ = 80665600.

The previous prime is 206123161. The next prime is 206123207. The reversal of 206123200 is 2321602.

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

It is not an unprimeable number, because it can be changed into a prime (206123207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73830 + ... + 76570.

Almost surely, 2^206123200 is an apocalyptic number.

206123200 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 206123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259086096).

206123200 is an abundant number, since it is smaller than the sum of its proper divisors (312048992).

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

206123200 is a wasteful number, since it uses less digits than its factorization.

206123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 206123200 is about 14356.9913282693. The cubic root of 206123200 is about 590.7117714493.

Adding to 206123200 its reverse (2321602), we get a palindrome (208444802).

The spelling of 206123200 in words is "two hundred six million, one hundred twenty-three thousand, two hundred".