123256656 has 60 divisors (see below), whose sum is σ = 346926580. Its totient is φ = 40849920.

The previous prime is 123256597. The next prime is 123256691. The reversal of 123256656 is 656652321.

It is a happy number.

123256656 is a `hidden beast` number, since 12 + 32 + 566 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 121352256 = 1380^2 + 11016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 123256656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23700 + ... + 28428.

Almost surely, 2^123256656 is an apocalyptic number.

123256656 is a gapful number since it is divisible by the number (16) 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 123256656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173463290).

123256656 is an abundant number, since it is smaller than the sum of its proper divisors (223669924).

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

123256656 is a wasteful number, since it uses less digits than its factorization.

123256656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4915 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 123256656 is about 11102.1014227037. The cubic root of 123256656 is about 497.6646506019.

It can be divided in two parts, 12325 and 6656, that added together give a palindrome (18981).

The spelling of 123256656 in words is "one hundred twenty-three million, two hundred fifty-six thousand, six hundred fifty-six".