123085032 has 128 divisors (see below), whose sum is σ = 378224640. Its totient is φ = 32578560.

The previous prime is 123085031. The next prime is 123085037. The reversal of 123085032 is 230580321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 123084993 and 123085011.

It is not an unprimeable number, because it can be changed into a prime (123085031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202473 + ... + 203079.

It is an arithmetic number, because the mean of its divisors is an integer number (2954880).

Almost surely, 2^123085032 is an apocalyptic number.

123085032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123085032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112320).

123085032 is an abundant number, since it is smaller than the sum of its proper divisors (255139608).

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

123085032 is a wasteful number, since it uses less digits than its factorization.

123085032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 123085032 is about 11094.3693827094. The cubic root of 123085032 is about 497.4335586296.

The spelling of 123085032 in words is "one hundred twenty-three million, eighty-five thousand, thirty-two".