12355210200 has 192 divisors, whose sum is σ = 39575993760. Its totient is φ = 3186155520.

The previous prime is 12355210193. The next prime is 12355210213. The reversal of 12355210200 is 201255321.

12355210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3838992 + ... + 3842208.

Almost surely, 2^12355210200 is an apocalyptic number.

12355210200 is a gapful number since it is divisible by the number (10) 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 12355210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19787996880).

12355210200 is an abundant number, since it is smaller than the sum of its proper divisors (27220783560).

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

12355210200 is a wasteful number, since it uses less digits than its factorization.

12355210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 12355210200 its reverse (201255321), we get a palindrome (12556465521).

The spelling of 12355210200 in words is "twelve billion, three hundred fifty-five million, two hundred ten thousand, two hundred".