322312320112266 has 288 divisors, whose sum is σ = 838957697257680. Its totient is φ = 88986532884480.

The previous prime is 322312320112253. The next prime is 322312320112267. The reversal of 322312320112266 is 662211023213223.

322312320112266 is a `hidden beast` number, since 3 + 2 + 2 + 312 + 320 + 1 + 12 + 2 + 6 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 320221898615025 + 2090421497241 = 17894745^2 + 1445829^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 322312320112266.

It is not an unprimeable number, because it can be changed into a prime (322312320112267) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 269285380 + ... + 270479648.

Almost surely, 2^{322312320112266} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322312320112266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419478848628840).

322312320112266 is an abundant number, since it is smaller than the sum of its proper divisors (516645377145414).

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

322312320112266 is a wasteful number, since it uses less digits than its factorization.

322312320112266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194550 (or 1194536 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 322312320112266 its reverse (662211023213223), we get a palindrome (984523343325489).

The spelling of 322312320112266 in words is "three hundred twenty-two trillion, three hundred twelve billion, three hundred twenty million, one hundred twelve thousand, two hundred sixty-six".