122220306 has 64 divisors (see below), whose sum is σ = 294685440. Its totient is φ = 37324800.

The previous prime is 122220289. The next prime is 122220311. The reversal of 122220306 is 603022221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105426 + ... + 106578.

It is an arithmetic number, because the mean of its divisors is an integer number (4604460).

Almost surely, 2^122220306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122220306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147342720).

122220306 is an abundant number, since it is smaller than the sum of its proper divisors (172465134).

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

122220306 is a wasteful number, since it uses less digits than its factorization.

122220306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122220306 is about 11055.3293031008. The cubic root of 122220306 is about 496.2659241084.

Adding to 122220306 its reverse (603022221), we get a palindrome (725242527).

It can be divided in two parts, 1222 and 20306, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 122220306 in words is "one hundred twenty-two million, two hundred twenty thousand, three hundred six".