201112111200 has 864 divisors, whose sum is σ = 894700235520. Its totient is φ = 38571724800.

The previous prime is 201112111153. The next prime is 201112111201. The reversal of 201112111200 is 2111211102.

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 (201112111201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16810821 + ... + 16822779.

It is an arithmetic number, because the mean of its divisors is an integer number (1035532680).

Almost surely, 2^201112111200 is an apocalyptic number.

201112111200 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 201112111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447350117760).

201112111200 is an abundant number, since it is smaller than the sum of its proper divisors (693588124320).

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

201112111200 is a wasteful number, since it uses less digits than its factorization.

201112111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12020 (or 12000 counting only the distinct ones).

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

Adding to 201112111200 its reverse (2111211102), we get a palindrome (203223322302).

The spelling of 201112111200 in words is "two hundred one billion, one hundred twelve million, one hundred eleven thousand, two hundred".