2201322312306 has 48 divisors (see below), whose sum is σ = 5137665571584. Its totient is φ = 677165523552.

The previous prime is 2201322312263. The next prime is 2201322312307. The reversal of 2201322312306 is 6032132231022.

2201322312306 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 322 + 31 + 2 + 306 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2201322312306.

It is not an unprimeable number, because it can be changed into a prime (2201322312307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 174016 + ... + 2105451.

It is an arithmetic number, because the mean of its divisors is an integer number (107034699408).

Almost surely, 2^{2201322312306} is an apocalyptic number.

2201322312306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2201322312306 is an abundant number, since it is smaller than the sum of its proper divisors (2936343259278).

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

2201322312306 is a wasteful number, since it uses less digits than its factorization.

2201322312306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283615 (or 2283612 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2201322312306 its reverse (6032132231022), we get a palindrome (8233454543328).

The spelling of 2201322312306 in words is "two trillion, two hundred one billion, three hundred twenty-two million, three hundred twelve thousand, three hundred six".