221200222122220 has 96 divisors (see below), whose sum is σ = 508205600884800. Its totient is φ = 80205564149760.

The previous prime is 221200222122203. The next prime is 221200222122221. The reversal of 221200222122220 is 22221222002122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221200222122191 and 221200222122200.

It is not an unprimeable number, because it can be changed into a prime (221200222122221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 152684374 + ... + 154126306.

It is an arithmetic number, because the mean of its divisors is an integer number (5293808342550).

Almost surely, 2^{221200222122220} is an apocalyptic number.

221200222122220 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 221200222122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254102800442400).

221200222122220 is an abundant number, since it is smaller than the sum of its proper divisors (287005378762580).

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

221200222122220 is a wasteful number, since it uses less digits than its factorization.

221200222122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443955 (or 1443953 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 221200222122220 its reverse (22221222002122), we get a palindrome (243421444124342).

The spelling of 221200222122220 in words is "two hundred twenty-one trillion, two hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".