112200220222002 has 128 divisors (see below), whose sum is σ = 279281203568640. Its totient is φ = 33093831312000.

The previous prime is 112200220222001. The next prime is 112200220222007. The reversal of 112200220222002 is 200222022002211.

112200220222002 is a `hidden beast` number, since 1 + 1 + 220 + 0 + 220 + 2 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112200220222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5151963 + ... + 15841185.

It is an arithmetic number, because the mean of its divisors is an integer number (2181884402880).

Almost surely, 2^{112200220222002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200220222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139640601784320).

112200220222002 is an abundant number, since it is smaller than the sum of its proper divisors (167080983346638).

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

112200220222002 is a wasteful number, since it uses less digits than its factorization.

112200220222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689717 (or 10689711 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112200220222002 its reverse (200222022002211), we get a palindrome (312422242224213).

The spelling of 112200220222002 in words is "one hundred twelve trillion, two hundred billion, two hundred twenty million, two hundred twenty-two thousand, two".