220122430416 has 160 divisors (see below), whose sum is σ = 723271207680. Its totient is φ = 62789658624.

The previous prime is 220122430397. The next prime is 220122430417. The reversal of 220122430416 is 614034221022.

220122430416 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 2 + 243 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 220122430416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122430417) 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, 1806820 + ... + 1924796.

It is an arithmetic number, because the mean of its divisors is an integer number (4520445048).

Almost surely, 2^220122430416 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 220122430416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361635603840).

220122430416 is an abundant number, since it is smaller than the sum of its proper divisors (503148777264).

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

220122430416 is a wasteful number, since it uses less digits than its factorization.

220122430416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118618 (or 118606 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 220122430416 its reverse (614034221022), we get a palindrome (834156651438).

The spelling of 220122430416 in words is "two hundred twenty billion, one hundred twenty-two million, four hundred thirty thousand, four hundred sixteen".