123007752 has 96 divisors (see below), whose sum is σ = 393070080. Its totient is φ = 34007040.

The previous prime is 123007751. The next prime is 123007777. The reversal of 123007752 is 257700321.

It is not an unprimeable number, because it can be changed into a prime (123007751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11688 + ... + 19560.

It is an arithmetic number, because the mean of its divisors is an integer number (4094480).

Almost surely, 2^123007752 is an apocalyptic number.

123007752 is a gapful number since it is divisible by the number (12) 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 123007752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196535040).

123007752 is an abundant number, since it is smaller than the sum of its proper divisors (270062328).

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

123007752 is a wasteful number, since it uses less digits than its factorization.

123007752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7923 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 123007752 is about 11090.8859880534. The cubic root of 123007752 is about 497.3294308493.

The spelling of 123007752 in words is "one hundred twenty-three million, seven thousand, seven hundred fifty-two".