111211100112000 has 1536 divisors, whose sum is σ = 432828582600960. Its totient is φ = 25185484800000.

The previous prime is 111211100111921. The next prime is 111211100112041. The reversal of 111211100112000 is 211001112111.

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 191 ways as a sum of consecutive naturals, for example, 151720463634 + ... + 151720464366.

Almost surely, 2^{111211100112000} is an apocalyptic number.

111211100112000 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 111211100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216414291300480).

111211100112000 is an abundant number, since it is smaller than the sum of its proper divisors (321617482488960).

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

111211100112000 is a wasteful number, since it uses less digits than its factorization.

111211100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1258 counting only the distinct ones).

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

Adding to 111211100112000 its reverse (211001112111), we get a palindrome (111422101224111).

The spelling of 111211100112000 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred million, one hundred twelve thousand".