123516432 has 60 divisors (see below), whose sum is σ = 372270444. Its totient is φ = 38004480.

The previous prime is 123516427. The next prime is 123516457. The reversal of 123516432 is 234615321.

123516432 is a `hidden beast` number, since 12 + 3 + 5 + 1 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 65999376 = 7584^2 + 8124^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123516396 and 123516405.

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 11 ways as a sum of consecutive naturals, for example, 31119 + ... + 34862.

Almost surely, 2^123516432 is an apocalyptic number.

123516432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123516432 is an abundant number, since it is smaller than the sum of its proper divisors (248754012).

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

123516432 is a wasteful number, since it uses less digits than its factorization.

123516432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66008 (or 65999 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 123516432 is about 11113.7946714882. The cubic root of 123516432 is about 498.0140316364.

The spelling of 123516432 in words is "one hundred twenty-three million, five hundred sixteen thousand, four hundred thirty-two".