220022002200 has 768 divisors, whose sum is σ = 940629795840. Its totient is φ = 41057280000.

The previous prime is 220022002199. The next prime is 220022002231. The reversal of 220022002200 is 2200220022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

220022002200 is a modest number, since divided by 22002200 gives 2200 as remainder.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22217250 + ... + 22227150.

It is an arithmetic number, because the mean of its divisors is an integer number (1224778380).

Almost surely, 2^220022002200 is an apocalyptic number.

220022002200 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 220022002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470314897920).

220022002200 is an abundant number, since it is smaller than the sum of its proper divisors (720607793640).

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

220022002200 is a wasteful number, since it uses less digits than its factorization.

220022002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 220022002200 its reverse (2200220022), we get a palindrome (222222222222).

220022002200 divided by its reverse (2200220022) gives a square (100 = 10²).

It can be divided in two parts, 22002 and 2002200, that added together give a palindrome (2024202).

The spelling of 220022002200 in words is "two hundred twenty billion, twenty-two million, two thousand, two hundred".