220002120220000 has 120 divisors (see below), whose sum is σ = 542112621712200. Its totient is φ = 87858676992000.

The previous prime is 220002120219991. The next prime is 220002120220019. The reversal of 220002120220000 is 22021200022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3494616 + ... + 21265384.

It is an arithmetic number, because the mean of its divisors is an integer number (4517605180935).

Almost surely, 2^{220002120220000} is an apocalyptic number.

220002120220000 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 220002120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271056310856100).

220002120220000 is an abundant number, since it is smaller than the sum of its proper divisors (322110501492200).

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

220002120220000 is an equidigital number, since it uses as much as digits as its factorization.

220002120220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17771418 (or 17771395 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 220002120220000 its reverse (22021200022), we get a palindrome (220024141420022).

The spelling of 220002120220000 in words is "two hundred twenty trillion, two billion, one hundred twenty million, two hundred twenty thousand".