220112001111200 has 216 divisors, whose sum is σ = 590678347345884. Its totient is φ = 80035419340800.

The previous prime is 220112001111161. The next prime is 220112001111209. The reversal of 220112001111200 is 2111100211022.

It can be written as a sum of positive squares in 6 ways, for example, as 4531261512976 + 215580739598224 = 2128676^2 + 14682668^2 .

It is not an unprimeable number, because it can be changed into a prime (220112001111209) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1644855494 + ... + 1644989306.

Almost surely, 2^{220112001111200} is an apocalyptic number.

220112001111200 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 220112001111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295339173672942).

220112001111200 is an abundant number, since it is smaller than the sum of its proper divisors (370566346234684).

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

220112001111200 is a wasteful number, since it uses less digits than its factorization.

220112001111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150848 (or 150824 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220112001111200 its reverse (2111100211022), we get a palindrome (222223101322222).

The spelling of 220112001111200 in words is "two hundred twenty trillion, one hundred twelve billion, one million, one hundred eleven thousand, two hundred".