201232000 has 64 divisors (see below), whose sum is σ = 500352840. Its totient is φ = 80486400.

The previous prime is 201231973. The next prime is 201232007. The reversal of 201232000 is 232102.

201232000 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 4 ways, for example, as 107993664 + 93238336 = 10392^2 + 9656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (201232007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9712 + ... + 22288.

Almost surely, 2^201232000 is an apocalyptic number.

201232000 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 201232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250176420).

201232000 is an abundant number, since it is smaller than the sum of its proper divisors (299120840).

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

201232000 is an equidigital number, since it uses as much as digits as its factorization.

201232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 201232000 is about 14185.6265282856. The cubic root of 201232000 is about 586.0018870281.

Adding to 201232000 its reverse (232102), we get a palindrome (201464102).

The spelling of 201232000 in words is "two hundred one million, two hundred thirty-two thousand".