66212200 has 48 divisors (see below), whose sum is σ = 155575980. Its totient is φ = 26204160.

The previous prime is 66212189. The next prime is 66212213. The reversal of 66212200 is 221266.

66212200 is digitally balanced in base 2, 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 6 ways, for example, as 40018276 + 26193924 = 6326^2 + 5118^2 .

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 11 ways as a sum of consecutive naturals, for example, 17694 + ... + 21106.

Almost surely, 2^66212200 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 66212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77787990).

66212200 is an abundant number, since it is smaller than the sum of its proper divisors (89363780).

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

66212200 is a wasteful number, since it uses less digits than its factorization.

66212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3526 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 66212200 is about 8137.0879311950. The cubic root of 66212200 is about 404.5566453542.

Adding to 66212200 its reverse (221266), we get a palindrome (66433466).

The spelling of 66212200 in words is "sixty-six million, two hundred twelve thousand, two hundred".