220202200220000 has 120 divisors (see below), whose sum is σ = 541756323108000. Its totient is φ = 88076672192000.

The previous prime is 220202200219957. The next prime is 220202200220027. The reversal of 220202200220000 is 22002202022.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 436527926 + ... + 437032074.

It is an arithmetic number, because the mean of its divisors is an integer number (4514636025900).

Almost surely, 2^{220202200220000} is an apocalyptic number.

220202200220000 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 220202200220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270878161554000).

220202200220000 is an abundant number, since it is smaller than the sum of its proper divisors (321554122888000).

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

220202200220000 is an equidigital number, since it uses as much as digits as its factorization.

220202200220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526018 (or 525995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 220202200220000 its reverse (22002202022), we get a palindrome (220224202422022).

The spelling of 220202200220000 in words is "two hundred twenty trillion, two hundred two billion, two hundred million, two hundred twenty thousand".