123112656 has 160 divisors (see below), whose sum is σ = 378547200. Its totient is φ = 38223360.

The previous prime is 123112643. The next prime is 123112673. The reversal of 123112656 is 656211321.

123112656 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 2 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388210 + ... + 388526.

It is an arithmetic number, because the mean of its divisors is an integer number (2365920).

Almost surely, 2^123112656 is an apocalyptic number.

123112656 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 123112656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189273600).

123112656 is an abundant number, since it is smaller than the sum of its proper divisors (255434544).

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

123112656 is a wasteful number, since it uses less digits than its factorization.

123112656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 123112656 is about 11095.6142687100. The cubic root of 123112656 is about 497.4707688860.

Adding to 123112656 its reverse (656211321), we get a palindrome (779323977).

The spelling of 123112656 in words is "one hundred twenty-three million, one hundred twelve thousand, six hundred fifty-six".