123952000 has 128 divisors (see below), whose sum is σ = 315694080. Its totient is φ = 48384000.

The previous prime is 123951977. The next prime is 123952021. The reversal of 123952000 is 259321.

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

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 15 ways as a sum of consecutive naturals, for example, 975937 + ... + 976063.

It is an arithmetic number, because the mean of its divisors is an integer number (2466360).

Almost surely, 2^123952000 is an apocalyptic number.

123952000 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 123952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

123952000 is an abundant number, since it is smaller than the sum of its proper divisors (191742080).

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

123952000 is an equidigital number, since it uses as much as digits as its factorization.

123952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 123952000 is about 11133.3732534214. The cubic root of 123952000 is about 498.5987432945.

The spelling of 123952000 in words is "one hundred twenty-three million, nine hundred fifty-two thousand".