123259968 has 280 divisors, whose sum is σ = 413064960. Its totient is φ = 36080640.

The previous prime is 123259963. The next prime is 123259993. The reversal of 123259968 is 869952321.

It is a super-2 number, since 2×123259968² = 30386039422722048, which contains 22 as substring.

Its product of digits (233280) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (123259963) 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 39 ways as a sum of consecutive naturals, for example, 2089123 + ... + 2089181.

It is an arithmetic number, because the mean of its divisors is an integer number (1475232).

Almost surely, 2^123259968 is an apocalyptic number.

123259968 is a gapful number since it is divisible by the number (18) 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 123259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206532480).

123259968 is an abundant number, since it is smaller than the sum of its proper divisors (289804992).

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

123259968 is a wasteful number, since it uses less digits than its factorization.

123259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 123259968 is about 11102.2505826521. The cubic root of 123259968 is about 497.6691081044.

The spelling of 123259968 in words is "one hundred twenty-three million, two hundred fifty-nine thousand, nine hundred sixty-eight".