201200512 has 32 divisors (see below), whose sum is σ = 404017920. Its totient is φ = 99800064.

The previous prime is 201200501. The next prime is 201200513. The reversal of 201200512 is 215002102.

201200512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 201200492 and 201200501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10068 + ... + 22444.

It is an arithmetic number, because the mean of its divisors is an integer number (12625560).

Almost surely, 2^201200512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202008960).

201200512 is an abundant number, since it is smaller than the sum of its proper divisors (202817408).

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

201200512 is a wasteful number, since it uses less digits than its factorization.

201200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 201200512 is about 14184.5166290572. The cubic root of 201200512 is about 585.9713203357.

Adding to 201200512 its reverse (215002102), we get a palindrome (416202614).

The spelling of 201200512 in words is "two hundred one million, two hundred thousand, five hundred twelve".