201205200 has 240 divisors, whose sum is σ = 780485760. Its totient is φ = 43253760.

The previous prime is 201205139. The next prime is 201205229. The reversal of 201205200 is 2502102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142096 + ... + 143504.

It is an arithmetic number, because the mean of its divisors is an integer number (3252024).

Almost surely, 2^201205200 is an apocalyptic number.

201205200 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 201205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390242880).

201205200 is an abundant number, since it is smaller than the sum of its proper divisors (579280560).

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

201205200 is a wasteful number, since it uses less digits than its factorization.

201205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 201205200 is about 14184.6818787028. The cubic root of 201205200 is about 585.9758713716.

Adding to 201205200 its reverse (2502102), we get a palindrome (203707302).

The spelling of 201205200 in words is "two hundred one million, two hundred five thousand, two hundred".