11112100111200 has 144 divisors (see below), whose sum is σ = 39458057397696. Its totient is φ = 2693842444800.

The previous prime is 11112100111171. The next prime is 11112100111253. The reversal of 11112100111200 is 211100121111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210430042 + ... + 210482841.

It is an arithmetic number, because the mean of its divisors is an integer number (274014287484).

Almost surely, 2^{11112100111200} is an apocalyptic number.

11112100111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112100111200 is an abundant number, since it is smaller than the sum of its proper divisors (28345957286496).

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

11112100111200 is a wasteful number, since it uses less digits than its factorization.

11112100111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420912917 (or 420912904 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11112100111200 its reverse (211100121111), we get a palindrome (11323200232311).

The spelling of 11112100111200 in words is "eleven trillion, one hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred".