220021120002112 has 448 divisors, whose sum is σ = 523849282000128. Its totient is φ = 90367819776000.

The previous prime is 220021120002097. The next prime is 220021120002113. The reversal of 220021120002112 is 211200021120022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (220021120002113) 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, 125942254423 + ... + 125942256169.

It is an arithmetic number, because the mean of its divisors is an integer number (1169306433036).

Almost surely, 2^{220021120002112} is an apocalyptic number.

220021120002112 is a gapful number since it is divisible by the number (22) 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 220021120002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261924641000064).

220021120002112 is an abundant number, since it is smaller than the sum of its proper divisors (303828161998016).

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

220021120002112 is a wasteful number, since it uses less digits than its factorization.

220021120002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220021120002112 its reverse (211200021120022), we get a palindrome (431221141122134).

The spelling of 220021120002112 in words is "two hundred twenty trillion, twenty-one billion, one hundred twenty million, two thousand, one hundred twelve".