201111523200 has 1728 divisors, whose sum is σ = 903383273520. Its totient is φ = 42319872000.

The previous prime is 201111523163. The next prime is 201111523243. The reversal of 201111523200 is 2325111102.

201111523200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 215 ways as a sum of consecutive naturals, for example, 1991203150 + ... + 1991203250.

Almost surely, 2^201111523200 is an apocalyptic number.

201111523200 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 201111523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451691636760).

201111523200 is an abundant number, since it is smaller than the sum of its proper divisors (702271750320).

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

201111523200 is a wasteful number, since it uses less digits than its factorization.

201111523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 201111523200 its reverse (2325111102), we get a palindrome (203436634302).

The spelling of 201111523200 in words is "two hundred one billion, one hundred eleven million, five hundred twenty-three thousand, two hundred".