123007248 has 300 divisors, whose sum is σ = 448994700. Its totient is φ = 32223744.

The previous prime is 123007229. The next prime is 123007249. The reversal of 123007248 is 842700321.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 106750224 = 4032^2 + 10332^2 .

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

It is not an unprimeable number, because it can be changed into a prime (123007249) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 825478 + ... + 825626.

It is an arithmetic number, because the mean of its divisors is an integer number (1496649).

Almost surely, 2^123007248 is an apocalyptic number.

123007248 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 123007248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224497350).

123007248 is an abundant number, since it is smaller than the sum of its proper divisors (325987452).

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

123007248 is a wasteful number, since it uses less digits than its factorization.

123007248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 123007248 is about 11090.8632666714. The cubic root of 123007248 is about 497.3287516119.

Adding to 123007248 its reverse (842700321), we get a palindrome (965707569).

The spelling of 123007248 in words is "one hundred twenty-three million, seven thousand, two hundred forty-eight".