11118544126200 has 1152 divisors, whose sum is σ = 45964606291200. Its totient is φ = 2461310530560.

The previous prime is 11118544126181. The next prime is 11118544126211. The reversal of 11118544126200 is 262144581111.

11118544126200 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 8 + 5 + 441 + 2 + 6 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2222372899 + ... + 2222377901.

It is an arithmetic number, because the mean of its divisors is an integer number (39899831850).

Almost surely, 2^{11118544126200} is an apocalyptic number.

11118544126200 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 11118544126200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982303145600).

11118544126200 is an abundant number, since it is smaller than the sum of its proper divisors (34846062165000).

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

11118544126200 is a wasteful number, since it uses less digits than its factorization.

11118544126200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 11118544126200 in words is "eleven trillion, one hundred eighteen billion, five hundred forty-four million, one hundred twenty-six thousand, two hundred".