123260268 has 48 divisors (see below), whose sum is σ = 311973984. Its totient is φ = 37724160.

The previous prime is 123260233. The next prime is 123260279. The reversal of 123260268 is 862062321.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996 + ... + 15732.

It is an arithmetic number, because the mean of its divisors is an integer number (6499458).

Almost surely, 2^123260268 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 123260268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155986992).

123260268 is an abundant number, since it is smaller than the sum of its proper divisors (188713716).

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

123260268 is a wasteful number, since it uses less digits than its factorization.

123260268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14802 (or 14800 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 123260268 is about 11102.2640934181. The cubic root of 123260268 is about 497.6695118598.

It can be divided in two parts, 123 and 260268, that multiplied together give a square (32012964 = 5658²).

The spelling of 123260268 in words is "one hundred twenty-three million, two hundred sixty thousand, two hundred sixty-eight".