1201005666 has 48 divisors (see below), whose sum is σ = 2986334208. Its totient is φ = 341712000.

The previous prime is 1201005649. The next prime is 1201005667. The reversal of 1201005666 is 6665001021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1201005667) 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, 10591 + ... + 50141.

It is an arithmetic number, because the mean of its divisors is an integer number (62215296).

Almost surely, 2^1201005666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201005666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493167104).

1201005666 is an abundant number, since it is smaller than the sum of its proper divisors (1785328542).

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

1201005666 is a wasteful number, since it uses less digits than its factorization.

1201005666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39807 (or 39804 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1201005666 is about 34655.5286498417. The cubic root of 1201005666 is about 1062.9553417365.

Adding to 1201005666 its reverse (6665001021), we get a palindrome (7866006687).

The spelling of 1201005666 in words is "one billion, two hundred one million, five thousand, six hundred sixty-six".