123578112 has 144 divisors (see below), whose sum is σ = 380936192. Its totient is φ = 34836480.

The previous prime is 123578111. The next prime is 123578129. The reversal of 123578112 is 211875321.

It is a self number, because there is not a number n which added to its sum of digits gives 123578112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123578111) by changing a digit.

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, 682662 + ... + 682842.

Almost surely, 2^123578112 is an apocalyptic number.

123578112 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 123578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190468096).

123578112 is an abundant number, since it is smaller than the sum of its proper divisors (257358080).

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

123578112 is a wasteful number, since it uses less digits than its factorization.

123578112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 123578112 is about 11116.5692549455. The cubic root of 123578112 is about 498.0969150587.

The spelling of 123578112 in words is "one hundred twenty-three million, five hundred seventy-eight thousand, one hundred twelve".