11003123112200 has 96 divisors (see below), whose sum is σ = 25791437992320. Its totient is φ = 4365298080000.

The previous prime is 11003123112199. The next prime is 11003123112203. The reversal of 11003123112200 is 221132130011.

It is not an unprimeable number, because it can be changed into a prime (11003123112203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48907970 + ... + 49132430.

It is an arithmetic number, because the mean of its divisors is an integer number (268660812420).

Almost surely, 2^{11003123112200} is an apocalyptic number.

11003123112200 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 11003123112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12895718996160).

11003123112200 is an abundant number, since it is smaller than the sum of its proper divisors (14788314880120).

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

11003123112200 is a wasteful number, since it uses less digits than its factorization.

11003123112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226479 (or 226470 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11003123112200 its reverse (221132130011), we get a palindrome (11224255242211).

The spelling of 11003123112200 in words is "eleven trillion, three billion, one hundred twenty-three million, one hundred twelve thousand, two hundred".