123376000 has 128 divisors (see below), whose sum is σ = 335106720. Its totient is φ = 44800000.

The previous prime is 123375961. The next prime is 123376007. The reversal of 123376000 is 673321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123376007) 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 15 ways as a sum of consecutive naturals, for example, 175650 + ... + 176350.

Almost surely, 2^123376000 is an apocalyptic number.

123376000 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 123376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167553360).

123376000 is an abundant number, since it is smaller than the sum of its proper divisors (211730720).

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

123376000 is an equidigital number, since it uses as much as digits as its factorization.

123376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 123376000 is about 11107.4749605840. The cubic root of 123376000 is about 497.8252210544.

The spelling of 123376000 in words is "one hundred twenty-three million, three hundred seventy-six thousand".