220200212120112 has 320 divisors, whose sum is σ = 739316891484160. Its totient is φ = 61437242071296.

The previous prime is 220200212120111. The next prime is 220200212120129. The reversal of 220200212120112 is 211021212002022.

It is a happy number.

220200212120112 is a `hidden beast` number, since 2 + 20 + 200 + 212 + 120 + 112 = 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 (220200212120111) 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, 578061903 + ... + 578442705.

It is an arithmetic number, because the mean of its divisors is an integer number (2310365285888).

Almost surely, 2^{220200212120112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220200212120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369658445742080).

220200212120112 is an abundant number, since it is smaller than the sum of its proper divisors (519116679364048).

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

220200212120112 is a wasteful number, since it uses less digits than its factorization.

220200212120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385317 (or 385305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220200212120112 its reverse (211021212002022), we get a palindrome (431221424122134).

The spelling of 220200212120112 in words is "two hundred twenty trillion, two hundred billion, two hundred twelve million, one hundred twenty thousand, one hundred twelve".