200112222101120 has 128 divisors (see below), whose sum is σ = 546938988647040. Its totient is φ = 68584328515584.

The previous prime is 200112222101083. The next prime is 200112222101147. The reversal of 200112222101120 is 21101222211002.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3695594 + ... + 20344086.

It is an arithmetic number, because the mean of its divisors is an integer number (4272960848805).

Almost surely, 2^{200112222101120} is an apocalyptic number.

200112222101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200112222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273469494323520).

200112222101120 is an abundant number, since it is smaller than the sum of its proper divisors (346826766545920).

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

200112222101120 is a wasteful number, since it uses less digits than its factorization.

200112222101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16651202 (or 16651190 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 200112222101120 its reverse (21101222211002), we get a palindrome (221213444312122).

The spelling of 200112222101120 in words is "two hundred trillion, one hundred twelve billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".