22221122200002 has 128 divisors (see below), whose sum is σ = 53981035130880. Its totient is φ = 6719723599680.

The previous prime is 22221122199923. The next prime is 22221122200009. The reversal of 22221122200002 is 20000222112222.

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

It is not an unprimeable number, because it can be changed into a prime (22221122200009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2354676028 + ... + 2354685464.

It is an arithmetic number, because the mean of its divisors is an integer number (421726836960).

Almost surely, 2^{22221122200002} is an apocalyptic number.

22221122200002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221122200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26990517565440).

22221122200002 is an abundant number, since it is smaller than the sum of its proper divisors (31759912930878).

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

22221122200002 is a wasteful number, since it uses less digits than its factorization.

22221122200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253 (or 17247 counting only the distinct ones).

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

Adding to 22221122200002 its reverse (20000222112222), we get a palindrome (42221344312224).

The spelling of 22221122200002 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred thousand, two".