201211200 has 252 divisors, whose sum is σ = 727793820. Its totient is φ = 52715520.

The previous prime is 201211189. The next prime is 201211229. The reversal of 201211200 is 2112102.

201211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 32626944 + 168584256 = 5712^2 + 12984^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1281522 + ... + 1281678.

Almost surely, 2^201211200 is an apocalyptic number.

201211200 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 201211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363896910).

201211200 is an abundant number, since it is smaller than the sum of its proper divisors (526582620).

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

201211200 is a wasteful number, since it uses less digits than its factorization.

201211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 201211200 is about 14184.8933728809. The cubic root of 201211200 is about 585.9816959730.

Adding to 201211200 its reverse (2112102), we get a palindrome (203323302).

It can be divided in two parts, 20121 and 1200, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 201211200 in words is "two hundred one million, two hundred eleven thousand, two hundred".