11112001111200 has 288 divisors, whose sum is σ = 39542971087872. Its totient is φ = 2687997312000.

The previous prime is 11112001111171. The next prime is 11112001111241. The reversal of 11112001111200 is 211110021111.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11768655 + ... + 12677745.

It is an arithmetic number, because the mean of its divisors is an integer number (137301982944).

Almost surely, 2^{11112001111200} is an apocalyptic number.

11112001111200 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 11112001111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771485543936).

11112001111200 is an abundant number, since it is smaller than the sum of its proper divisors (28430969976672).

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

11112001111200 is a wasteful number, since it uses less digits than its factorization.

11112001111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909588 (or 909575 counting only the distinct ones).

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

Adding to 11112001111200 its reverse (211110021111), we get a palindrome (11323111132311).

The spelling of 11112001111200 in words is "eleven trillion, one hundred twelve billion, one million, one hundred eleven thousand, two hundred".