206452241200 has 240 divisors, whose sum is σ = 541922814720. Its totient is φ = 75339658240.

The previous prime is 206452241161. The next prime is 206452241201. The reversal of 206452241200 is 2142254602.

It is not an unprimeable number, because it can be changed into a prime (206452241201) 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 47 ways as a sum of consecutive naturals, for example, 22139739 + ... + 22149061.

It is an arithmetic number, because the mean of its divisors is an integer number (2258011728).

Almost surely, 2^206452241200 is an apocalyptic number.

206452241200 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 206452241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270961407360).

206452241200 is an abundant number, since it is smaller than the sum of its proper divisors (335470573520).

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

206452241200 is a wasteful number, since it uses less digits than its factorization.

206452241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9476 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 206452241200 its reverse (2142254602), we get a palindrome (208594495802).

The spelling of 206452241200 in words is "two hundred six billion, four hundred fifty-two million, two hundred forty-one thousand, two hundred".