11212130002200 has 384 divisors, whose sum is σ = 36061591910400. Its totient is φ = 2879451832320.

The previous prime is 11212130002193. The next prime is 11212130002219. The reversal of 11212130002200 is 220003121211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11212130002200.

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 95 ways as a sum of consecutive naturals, for example, 2164919211 + ... + 2164924389.

It is an arithmetic number, because the mean of its divisors is an integer number (93910395600).

Almost surely, 2^{11212130002200} is an apocalyptic number.

11212130002200 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 11212130002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030795955200).

11212130002200 is an abundant number, since it is smaller than the sum of its proper divisors (24849461908200).

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

11212130002200 is a wasteful number, since it uses less digits than its factorization.

11212130002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11212130002200 its reverse (220003121211), we get a palindrome (11432133123411).

The spelling of 11212130002200 in words is "eleven trillion, two hundred twelve billion, one hundred thirty million, two thousand, two hundred".