220112001100000 has 144 divisors (see below), whose sum is σ = 543971933786736. Its totient is φ = 87666916480000.

The previous prime is 220112001099959. The next prime is 220112001100031. The reversal of 220112001100000 is 1100211022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 220112001100000.

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 23 ways as a sum of consecutive naturals, for example, 18576567 + ... + 28023433.

It is an arithmetic number, because the mean of its divisors is an integer number (3777582873519).

Almost surely, 2^{220112001100000} is an apocalyptic number.

220112001100000 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 220112001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271985966893368).

220112001100000 is an abundant number, since it is smaller than the sum of its proper divisors (323859932686736).

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

220112001100000 is an frugal number, since it uses more digits than its factorization.

220112001100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447135 (or 9447107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 220112001100000 its reverse (1100211022), we get a palindrome (220113101311022).

The spelling of 220112001100000 in words is "two hundred twenty trillion, one hundred twelve billion, one million, one hundred thousand".