123392 has 20 divisors (see below), whose sum is σ = 247566. Its totient is φ = 61440.

The previous prime is 123379. The next prime is 123397. The reversal of 123392 is 293321.

123392 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 30976 = 304^2 + 176^2 .

It is not an unprimeable number, because it can be changed into a prime (123397) by changing a digit.

123392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 392 + ... + 632.

2¹²³³⁹² 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 123392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123783).

123392 is an abundant number, since it is smaller than the sum of its proper divisors (124174).

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

123392 is an frugal number, since it uses more digits than its factorization.

123392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 243 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 123392 is about 351.2719744016. The cubic root of 123392 is about 49.7846740256.

It can be divided in two parts, 123 and 392, that added together give a palindrome (515).

The spelling of 123392 in words is "one hundred twenty-three thousand, three hundred ninety-two".