201216600 has 144 divisors (see below), whose sum is σ = 727818000. Its totient is φ = 49524480.

The previous prime is 201216557. The next prime is 201216601. The reversal of 201216600 is 6612102.

It is a happy number.

201216600 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 660 + 0 = 666.

201216600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201216601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19101 + ... + 27699.

Almost surely, 2^201216600 is an apocalyptic number.

201216600 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 201216600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363909000).

201216600 is an abundant number, since it is smaller than the sum of its proper divisors (526601400).

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

201216600 is a wasteful number, since it uses less digits than its factorization.

201216600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 201216600 is about 14185.0837149451. The cubic root of 201216600 is about 585.9869380153.

Adding to 201216600 its reverse (6612102), we get a palindrome (207828702).

The spelling of 201216600 in words is "two hundred one million, two hundred sixteen thousand, six hundred".