123296 has 12 divisors (see below), whose sum is σ = 242802. Its totient is φ = 61632.

The previous prime is 123289. The next prime is 123307. The reversal of 123296 is 692321.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 55696 = 260^2 + 236^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

123296 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1895 + ... + 1958.

2¹²³²⁹⁶ is an apocalyptic number.

123296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

123296 is a deficient number, since it is larger than the sum of its proper divisors (119506).

123296 is an equidigital number, since it uses as much as digits as its factorization.

123296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3855 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 123296 is about 351.1353015577. The cubic root of 123296 is about 49.7717597127.

The spelling of 123296 in words is "one hundred twenty-three thousand, two hundred ninety-six".