111111000121200 has 960 divisors, whose sum is σ = 406693194969600. Its totient is φ = 25754281574400.

The previous prime is 111111000121171. The next prime is 111111000121213. The reversal of 111111000121200 is 2121000111111.

111111000121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31449474634 + ... + 31449478166.

It is an arithmetic number, because the mean of its divisors is an integer number (423638744760).

Almost surely, 2^{111111000121200} is an apocalyptic number.

111111000121200 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 111111000121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203346597484800).

111111000121200 is an abundant number, since it is smaller than the sum of its proper divisors (295582194848400).

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

111111000121200 is a wasteful number, since it uses less digits than its factorization.

111111000121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5599 counting only the distinct ones).

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

Adding to 111111000121200 its reverse (2121000111111), we get a palindrome (113232000232311).

The spelling of 111111000121200 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred twenty-one thousand, two hundred".