123085732 has 48 divisors (see below), whose sum is σ = 270603648. Its totient is φ = 47589120.

The previous prime is 123085727. The next prime is 123085759. The reversal of 123085732 is 237580321.

It is a junction number, because it is equal to n+sod(n) for n = 123085694 and 123085703.

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 15 ways as a sum of consecutive naturals, for example, 40738 + ... + 43654.

It is an arithmetic number, because the mean of its divisors is an integer number (5637576).

Almost surely, 2^123085732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123085732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135301824).

123085732 is an abundant number, since it is smaller than the sum of its proper divisors (147517916).

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

123085732 is a wasteful number, since it uses less digits than its factorization.

123085732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 123085732 is about 11094.4009301990. The cubic root of 123085732 is about 497.4345016168.

The spelling of 123085732 in words is "one hundred twenty-three million, eighty-five thousand, seven hundred thirty-two".