11111011111200 has 2304 divisors, whose sum is σ = 50909141606400. Its totient is φ = 2072770560000.

The previous prime is 11111011111199. The next prime is 11111011111217. The reversal of 11111011111200 is 211111011111.

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

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 383 ways as a sum of consecutive naturals, for example, 4355549925 + ... + 4355552475.

It is an arithmetic number, because the mean of its divisors is an integer number (22095981600).

Almost surely, 2^{11111011111200} is an apocalyptic number.

11111011111200 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 11111011111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25454570803200).

11111011111200 is an abundant number, since it is smaller than the sum of its proper divisors (39798130495200).

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

11111011111200 is a wasteful number, since it uses less digits than its factorization.

11111011111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 11111011111200 its reverse (211111011111), we get a palindrome (11322122122311).

It can be divided in two parts, 11111011 and 111200, that added together give a palindrome (11222211).

The spelling of 11111011111200 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, two hundred".