123386112 has 72 divisors (see below), whose sum is σ = 364894880. Its totient is φ = 41126400.

The previous prime is 123386111. The next prime is 123386117. The reversal of 123386112 is 211683321.

It is a happy number.

123386112 is a `hidden beast` number, since 12 + 3 + 38 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (123386111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2014 + ... + 15837.

Almost surely, 2^123386112 is an apocalyptic number.

123386112 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 123386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182447440).

123386112 is an abundant number, since it is smaller than the sum of its proper divisors (241508768).

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

123386112 is an equidigital number, since it uses as much as digits as its factorization.

123386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17876 (or 17856 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 123386112 is about 11107.9301402196. The cubic root of 123386112 is about 497.8388214064.

The spelling of 123386112 in words is "one hundred twenty-three million, three hundred eighty-six thousand, one hundred twelve".