201111111212000 has 192 divisors, whose sum is σ = 540650506818240. Its totient is φ = 72914300928000.

The previous prime is 201111111211981. The next prime is 201111111212047. The reversal of 201111111212000 is 212111111102.

201111111212000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 8046536 + ... + 21609464.

It is an arithmetic number, because the mean of its divisors is an integer number (2815888056345).

Almost surely, 2^{201111111212000} is an apocalyptic number.

201111111212000 is a gapful number since it is divisible by the number (20) 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 201111111212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270325253409120).

201111111212000 is an abundant number, since it is smaller than the sum of its proper divisors (339539395606240).

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

201111111212000 is a wasteful number, since it uses less digits than its factorization.

201111111212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563302 (or 13563284 counting only the distinct ones).

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

Adding to 201111111212000 its reverse (212111111102), we get a palindrome (201323222323102).

The spelling of 201111111212000 in words is "two hundred one trillion, one hundred eleven billion, one hundred eleven million, two hundred twelve thousand".