201312200 has 96 divisors (see below), whose sum is σ = 492993000. Its totient is φ = 76339200.

The previous prime is 201312191. The next prime is 201312211. The reversal of 201312200 is 2213102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9821956 + 191490244 = 3134^2 + 13838^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353516 + ... + 354084.

Almost surely, 2^201312200 is an apocalyptic number.

201312200 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 201312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246496500).

201312200 is an abundant number, since it is smaller than the sum of its proper divisors (291680800).

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

201312200 is a wasteful number, since it uses less digits than its factorization.

201312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 201312200 is about 14188.4530516896. The cubic root of 201312200 is about 586.0797260551.

Adding to 201312200 its reverse (2213102), we get a palindrome (203525302).

The spelling of 201312200 in words is "two hundred one million, three hundred twelve thousand, two hundred".