666122112 has 192 divisors, whose sum is σ = 2011276800. Its totient is φ = 211341312.

The previous prime is 666122111. The next prime is 666122129. The reversal of 666122112 is 211221666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (666122111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4242738 + ... + 4242894.

It is an arithmetic number, because the mean of its divisors is an integer number (10475400).

Almost surely, 2^666122112 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 666122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005638400).

666122112 is an abundant number, since it is smaller than the sum of its proper divisors (1345154688).

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

666122112 is a wasteful number, since it uses less digits than its factorization.

666122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 666122112 is about 25809.3415646351. The cubic root of 666122112 is about 873.3425437847.

Adding to 666122112 its reverse (211221666), we get a palindrome (877343778).

The spelling of 666122112 in words is "six hundred sixty-six million, one hundred twenty-two thousand, one hundred twelve".