123251616 has 36 divisors (see below), whose sum is σ = 350497602. Its totient is φ = 41083776.

The previous prime is 123251603. The next prime is 123251621. The reversal of 123251616 is 616152321.

123251616 is a `hidden beast` number, since 1 + 23 + 25 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123210000 + 41616 = 11100^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×123251616² = 30381921693222912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123251616.

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 5 ways as a sum of consecutive naturals, for example, 213691 + ... + 214266.

Almost surely, 2^123251616 is an apocalyptic number.

123251616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123251616 is an abundant number, since it is smaller than the sum of its proper divisors (227245986).

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

123251616 is a wasteful number, since it uses less digits than its factorization.

123251616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427973 (or 427962 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 123251616 is about 11101.8744363283. The cubic root of 123251616 is about 497.6578672927.

The spelling of 123251616 in words is "one hundred twenty-three million, two hundred fifty-one thousand, six hundred sixteen".