123838656000 has 640 divisors, whose sum is σ = 439696857600. Its totient is φ = 30833049600.

The previous prime is 123838655999. The next prime is 123838656001. The reversal of 123838656000 is 656838321.

It is an interprime number because it is at equal distance from previous prime (123838655999) and next prime (123838656001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123838656001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302783796 + ... + 302784204.

It is an arithmetic number, because the mean of its divisors is an integer number (687026340).

Almost surely, 2^123838656000 is an apocalyptic number.

123838656000 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 123838656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219848428800).

123838656000 is an abundant number, since it is smaller than the sum of its proper divisors (315858201600).

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

123838656000 is an equidigital number, since it uses as much as digits as its factorization.

123838656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 123838656000 in words is "one hundred twenty-three billion, eight hundred thirty-eight million, six hundred fifty-six thousand".