201143591200 has 144 divisors (see below), whose sum is σ = 521908470720. Its totient is φ = 75482219520.

The previous prime is 201143591197. The next prime is 201143591221. The reversal of 201143591200 is 2195341102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501362 + ... + 1629838.

It is an arithmetic number, because the mean of its divisors is an integer number (3624364380).

Almost surely, 2^201143591200 is an apocalyptic number.

201143591200 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 201143591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260954235360).

201143591200 is an abundant number, since it is smaller than the sum of its proper divisors (320764879520).

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

201143591200 is a wasteful number, since it uses less digits than its factorization.

201143591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128619 (or 128606 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 201143591200 in words is "two hundred one billion, one hundred forty-three million, five hundred ninety-one thousand, two hundred".