201205000 has 40 divisors (see below), whose sum is σ = 471435030. Its totient is φ = 80480000.

The previous prime is 201204977. The next prime is 201205007. The reversal of 201205000 is 502102.

201205000 is digitally balanced in base 2, 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 5 ways, for example, as 4251844 + 196953156 = 2062^2 + 14034^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201205007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15121 + ... + 25120.

Almost surely, 2^201205000 is an apocalyptic number.

201205000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201205000 is an abundant number, since it is smaller than the sum of its proper divisors (270230030).

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

201205000 is an equidigital number, since it uses as much as digits as its factorization.

201205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40267 (or 40248 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 201205000 is about 14184.6748288426. The cubic root of 201205000 is about 585.9756772162.

Adding to 201205000 its reverse (502102), we get a palindrome (201707102).

The spelling of 201205000 in words is "two hundred one million, two hundred five thousand".