220000002200000 has 336 divisors, whose sum is σ = 630290654628768. Its totient is φ = 75294105600000.

The previous prime is 220000002199981. The next prime is 220000002200021. The reversal of 220000002200000 is 2200000022.

220000002200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34458824 + ... + 40341176.

It is an arithmetic number, because the mean of its divisors is an integer number (1875865043538).

Almost surely, 2^{220000002200000} is an apocalyptic number.

220000002200000 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 220000002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315145327314384).

220000002200000 is an abundant number, since it is smaller than the sum of its proper divisors (410290652428768).

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

220000002200000 is an equidigital number, since it uses as much as digits as its factorization.

220000002200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882418 (or 5882388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 220000002200000 its reverse (2200000022), we get a palindrome (220002202200022).

220000002200000 divided by its reverse (2200000022) gives a 5-th power (100000 = 10⁵).

The spelling of 220000002200000 in words is "two hundred twenty trillion, two million, two hundred thousand".