11304143210200 has 384 divisors, whose sum is σ = 31277401689600. Its totient is φ = 3766698270720.

The previous prime is 11304143210197. The next prime is 11304143210209. The reversal of 11304143210200 is 201234140311.

It is a super-3 number, since 3×11304143210200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304143210209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63800934 + ... + 63977866.

It is an arithmetic number, because the mean of its divisors is an integer number (81451566900).

Almost surely, 2^{11304143210200} is an apocalyptic number.

11304143210200 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 11304143210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15638700844800).

11304143210200 is an abundant number, since it is smaller than the sum of its proper divisors (19973258479400).

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

11304143210200 is a wasteful number, since it uses less digits than its factorization.

11304143210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177051 (or 177042 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11304143210200 its reverse (201234140311), we get a palindrome (11505377350511).

The spelling of 11304143210200 in words is "eleven trillion, three hundred four billion, one hundred forty-three million, two hundred ten thousand, two hundred".