123256000 has 224 divisors, whose sum is σ = 365174784. Its totient is φ = 40320000.

The previous prime is 123255997. The next prime is 123256019. The reversal of 123256000 is 652321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1735965 + ... + 1736035.

Almost surely, 2^123256000 is an apocalyptic number.

123256000 is a gapful number since it is divisible by the number (10) 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 123256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182587392).

123256000 is an abundant number, since it is smaller than the sum of its proper divisors (241918784).

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

123256000 is an equidigital number, since it uses as much as digits as its factorization.

123256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 123256000 is about 11102.0718787080. The cubic root of 123256000 is about 497.6637677055.

The spelling of 123256000 in words is "one hundred twenty-three million, two hundred fifty-six thousand".