123601248 has 96 divisors (see below), whose sum is σ = 373010400. Its totient is φ = 39771648.

The previous prime is 123601217. The next prime is 123601259. The reversal of 123601248 is 842106321.

123601248 is a `hidden beast` number, since 12 + 3 + 601 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22590 + ... + 27522.

It is an arithmetic number, because the mean of its divisors is an integer number (3885525).

Almost surely, 2^123601248 is an apocalyptic number.

123601248 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 123601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186505200).

123601248 is an abundant number, since it is smaller than the sum of its proper divisors (249409152).

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

123601248 is a wasteful number, since it uses less digits than its factorization.

123601248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4981 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 123601248 is about 11117.6098150637. The cubic root of 123601248 is about 498.1279972920.

Adding to 123601248 its reverse (842106321), we get a palindrome (965707569).

The spelling of 123601248 in words is "one hundred twenty-three million, six hundred one thousand, two hundred forty-eight".