220112102000 has 160 divisors (see below), whose sum is σ = 608855495040. Its totient is φ = 75393638400.

The previous prime is 220112101991. The next prime is 220112102033. The reversal of 220112102000 is 201211022.

It is a happy number.

220112102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15518912 + ... + 15533088.

It is an arithmetic number, because the mean of its divisors is an integer number (3805346844).

Almost surely, 2^220112102000 is an apocalyptic number.

220112102000 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 220112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304427747520).

220112102000 is an abundant number, since it is smaller than the sum of its proper divisors (388743393040).

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

220112102000 is a wasteful number, since it uses less digits than its factorization.

220112102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316 (or 15300 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220112102000 its reverse (201211022), we get a palindrome (220313313022).

The spelling of 220112102000 in words is "two hundred twenty billion, one hundred twelve million, one hundred two thousand".