122216616 has 24 divisors (see below), whose sum is σ = 331003530. Its totient is φ = 40738848.

The previous prime is 122216609. The next prime is 122216623. The reversal of 122216616 is 616612221.

122216616 is a `hidden beast` number, since 1 + 22 + 21 + 6 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (122216609) and next prime (122216623).

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 202500 = 11046^2 + 450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122216616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 848655 + ... + 848798.

Almost surely, 2^122216616 is an apocalyptic number.

It is an amenable number.

122216616 is an abundant number, since it is smaller than the sum of its proper divisors (208786914).

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

122216616 is a wasteful number, since it uses less digits than its factorization.

122216616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697465 (or 1697458 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 122216616 is about 11055.1624140037. The cubic root of 122216616 is about 496.2609297400.

Adding to 122216616 its reverse (616612221), we get a palindrome (738828837).

The spelling of 122216616 in words is "one hundred twenty-two million, two hundred sixteen thousand, six hundred sixteen".