123817248 has 72 divisors (see below), whose sum is σ = 365169168. Its totient is φ = 41269824.

The previous prime is 123817237. The next prime is 123817261. The reversal of 123817248 is 842718321.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 186 + ... + 15737.

It is an arithmetic number, because the mean of its divisors is an integer number (5071794).

Almost surely, 2^123817248 is an apocalyptic number.

123817248 is a gapful number since it is divisible by the number (18) 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 123817248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182584584).

123817248 is an abundant number, since it is smaller than the sum of its proper divisors (241351920).

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

123817248 is an equidigital number, since it uses as much as digits as its factorization.

123817248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15948 (or 15928 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 123817248 is about 11127.3198929482. The cubic root of 123817248 is about 498.4179971464.

The spelling of 123817248 in words is "one hundred twenty-three million, eight hundred seventeen thousand, two hundred forty-eight".