201232512 has 160 divisors (see below), whose sum is σ = 645363180. Its totient is φ = 61876224.

The previous prime is 201232489. The next prime is 201232523. The reversal of 201232512 is 215232102.

It can be written as a sum of positive squares in 2 ways, for example, as 201185856 + 46656 = 14184^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134038 + ... + 135530.

Almost surely, 2^201232512 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 201232512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322681590).

201232512 is an abundant number, since it is smaller than the sum of its proper divisors (444130668).

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

201232512 is a wasteful number, since it uses less digits than its factorization.

201232512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201232512 is about 14185.6445747100. The cubic root of 201232512 is about 586.0023840212.

Adding to 201232512 its reverse (215232102), we get a palindrome (416464614).

The spelling of 201232512 in words is "two hundred one million, two hundred thirty-two thousand, five hundred twelve".