201112112000 has 128 divisors (see below), whose sum is σ = 526332362400. Its totient is φ = 76210790400.

The previous prime is 201112111979. The next prime is 201112112011. The reversal of 201112112000 is 211211102.

201112112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 26777 + ... + 634776.

Almost surely, 2^201112112000 is an apocalyptic number.

201112112000 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 201112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263166181200).

201112112000 is an abundant number, since it is smaller than the sum of its proper divisors (325220250400).

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

201112112000 is an equidigital number, since it uses as much as digits as its factorization.

201112112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661601 (or 661579 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201112112000 its reverse (211211102), we get a palindrome (201323323102).

The spelling of 201112112000 in words is "two hundred one billion, one hundred twelve million, one hundred twelve thousand".