111121112001200 has 240 divisors, whose sum is σ = 316165581607680. Its totient is φ = 36722238120960.

The previous prime is 111121112001187. The next prime is 111121112001223. The reversal of 111121112001200 is 2100211121111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46498739 + ... + 48830061.

It is an arithmetic number, because the mean of its divisors is an integer number (1317356590032).

Almost surely, 2^{111121112001200} is an apocalyptic number.

111121112001200 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 111121112001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158082790803840).

111121112001200 is an abundant number, since it is smaller than the sum of its proper divisors (205044469606480).

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

111121112001200 is a wasteful number, since it uses less digits than its factorization.

111121112001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331964 (or 2331953 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111121112001200 its reverse (2100211121111), we get a palindrome (113221323122311).

The spelling of 111121112001200 in words is "one hundred eleven trillion, one hundred twenty-one billion, one hundred twelve million, one thousand, two hundred".