123261 has 8 divisors (see below), whose sum is σ = 165984. Its totient is φ = 81360.

The previous prime is 123259. The next prime is 123269. The reversal of 123261 is 162321.

123261 = 113² + 114² + ... + 121².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 123261 - 2¹ = 123259 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (20748).

2¹²³²⁶¹ is an apocalyptic number.

It is an amenable number.

123261 is a deficient number, since it is larger than the sum of its proper divisors (42723).

123261 is a wasteful number, since it uses less digits than its factorization.

123261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411.

The product of its digits is 72, while the sum is 15.

The square root of 123261 is about 351.0854596818. The cubic root of 123261 is about 49.7670497020.

Adding to 123261 its reverse (162321), we get a palindrome (285582).

Subtracting 123261 from its reverse (162321), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 123261 in words is "one hundred twenty-three thousand, two hundred sixty-one".