22212120002220 has 144 divisors (see below), whose sum is σ = 68054091356160. Its totient is φ = 5863704384000.

The previous prime is 22212120002209. The next prime is 22212120002227. The reversal of 22212120002220 is 2220002121222.

22212120002220 is a `hidden beast` number, since 2 + 221 + 21 + 200 + 0 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22212120002193 and 22212120002202.

It is not an unprimeable number, because it can be changed into a prime (22212120002227) 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 47 ways as a sum of consecutive naturals, for example, 125553586 + ... + 125730374.

It is an arithmetic number, because the mean of its divisors is an integer number (472597856640).

Almost surely, 2^{22212120002220} is an apocalyptic number.

22212120002220 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 22212120002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34027045678080).

22212120002220 is an abundant number, since it is smaller than the sum of its proper divisors (45841971353940).

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

22212120002220 is a wasteful number, since it uses less digits than its factorization.

22212120002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183816 (or 183811 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22212120002220 its reverse (2220002121222), we get a palindrome (24432122123442).

The spelling of 22212120002220 in words is "twenty-two trillion, two hundred twelve billion, one hundred twenty million, two thousand, two hundred twenty".