66212112 has 80 divisors (see below), whose sum is σ = 182528000. Its totient is φ = 20621952.

The previous prime is 66212087. The next prime is 66212119. The reversal of 66212112 is 21121266.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66212119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71589 + ... + 72507.

It is an arithmetic number, because the mean of its divisors is an integer number (2281600).

Almost surely, 2^66212112 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 66212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91264000).

66212112 is an abundant number, since it is smaller than the sum of its proper divisors (116315888).

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

66212112 is a wasteful number, since it uses less digits than its factorization.

66212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 66212112 is about 8137.0825238534. The cubic root of 66212112 is about 404.5564661274.

Adding to 66212112 its reverse (21121266), we get a palindrome (87333378).

The spelling of 66212112 in words is "sixty-six million, two hundred twelve thousand, one hundred twelve".