112266112266 has 224 divisors, whose sum is σ = 317933099136. Its totient is φ = 28868400000.

The previous prime is 112266112247. The next prime is 112266112271. The reversal of 112266112266 is 662211662211.

112266112266 is a `hidden beast` number, since 1 + 12 + 2 + 6 + 611 + 2 + 26 + 6 = 666.

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

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 112266112266.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11333916 + ... + 11343816.

Almost surely, 2^112266112266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112266112266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158966549568).

112266112266 is an abundant number, since it is smaller than the sum of its proper divisors (205666986870).

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

112266112266 is a wasteful number, since it uses less digits than its factorization.

112266112266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10040 (or 10025 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Adding to 112266112266 its reverse (662211662211), we get a palindrome (774477774477).

Subtracting 112266112266 from its reverse (662211662211), we obtain a palindrome (549945549945).

The spelling of 112266112266 in words is "one hundred twelve billion, two hundred sixty-six million, one hundred twelve thousand, two hundred sixty-six".