111211200012000 has 384 divisors, whose sum is σ = 399184300569600. Its totient is φ = 26842553088000.

The previous prime is 111211200011983. The next prime is 111211200012007. The reversal of 111211200012000 is 210002112111.

111211200012000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111211200012000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111211200012007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 28388461 + ... + 32067539.

It is an arithmetic number, because the mean of its divisors is an integer number (1039542449400).

Almost surely, 2^{111211200012000} is an apocalyptic number.

111211200012000 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 111211200012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199592150284800).

111211200012000 is an abundant number, since it is smaller than the sum of its proper divisors (287973100557600).

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

111211200012000 is a wasteful number, since it uses less digits than its factorization.

111211200012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679347 (or 3679329 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111211200012000 its reverse (210002112111), we get a palindrome (111421202124111).

The spelling of 111211200012000 in words is "one hundred eleven trillion, two hundred eleven billion, two hundred million, twelve thousand".