123116616 has 72 divisors (see below), whose sum is σ = 387891270. Its totient is φ = 35175168.

The previous prime is 123116597. The next prime is 123116647. The reversal of 123116616 is 616611321.

123116616 is a `hidden beast` number, since 1 + 2 + 31 + 16 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 1102500 = 11046^2 + 1050^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×123116616² = 30315402270582912, which contains 22 as substring.

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 123116616.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13921 + ... + 20976.

Almost surely, 2^123116616 is an apocalyptic number.

It is an amenable number.

123116616 is an abundant number, since it is smaller than the sum of its proper divisors (264774654).

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

123116616 is a wasteful number, since it uses less digits than its factorization.

123116616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34923 (or 34909 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 123116616 is about 11095.7927161605. The cubic root of 123116616 is about 497.4761026542.

Adding to 123116616 its reverse (616611321), we get a palindrome (739727937).

The spelling of 123116616 in words is "one hundred twenty-three million, one hundred sixteen thousand, six hundred sixteen".