220122043304704 has 288 divisors, whose sum is σ = 472881689280000. Its totient is φ = 101900390694912.

The previous prime is 220122043304699. The next prime is 220122043304707. The reversal of 220122043304704 is 407403340221022.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 220122043304704.

It is not an unprimeable number, because it can be changed into a prime (220122043304707) 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 31 ways as a sum of consecutive naturals, for example, 39568942627 + ... + 39568948189.

It is an arithmetic number, because the mean of its divisors is an integer number (1641950310000).

Almost surely, 2^{220122043304704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220122043304704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236440844640000).

220122043304704 is an abundant number, since it is smaller than the sum of its proper divisors (252759645975296).

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

220122043304704 is a wasteful number, since it uses less digits than its factorization.

220122043304704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6323 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

Adding to 220122043304704 its reverse (407403340221022), we get a palindrome (627525383525726).

The spelling of 220122043304704 in words is "two hundred twenty trillion, one hundred twenty-two billion, forty-three million, three hundred four thousand, seven hundred four".