201220200 has 120 divisors (see below), whose sum is σ = 698923830. Its totient is φ = 53654400.

The previous prime is 201220199. The next prime is 201220223. The reversal of 201220200 is 2022102.

It can be written as a sum of positive squares in 3 ways, for example, as 190605636 + 10614564 = 13806^2 + 3258^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9990 + ... + 22410.

Almost surely, 2^201220200 is an apocalyptic number.

201220200 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 201220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349461915).

201220200 is an abundant number, since it is smaller than the sum of its proper divisors (497703630).

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

201220200 is a wasteful number, since it uses less digits than its factorization.

201220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 201220200 is about 14185.2106082356. The cubic root of 201220200 is about 585.9904326580.

Adding to 201220200 its reverse (2022102), we get a palindrome (203242302).

The spelling of 201220200 in words is "two hundred one million, two hundred twenty thousand, two hundred".