123004960 has 72 divisors (see below), whose sum is σ = 314741700. Its totient is φ = 45407232.

The previous prime is 123004949. The next prime is 123004963. The reversal of 123004960 is 69400321.

It can be written as a sum of positive squares in 6 ways, for example, as 22924944 + 100080016 = 4788^2 + 10004^2 .

It is not an unprimeable number, because it can be changed into a prime (123004963) by changing a digit.

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, 24766 + ... + 29314.

Almost surely, 2^123004960 is an apocalyptic number.

123004960 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 123004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157370850).

123004960 is an abundant number, since it is smaller than the sum of its proper divisors (191736740).

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

123004960 is a wasteful number, since it uses less digits than its factorization.

123004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 123004960 is about 11090.7601182245. The cubic root of 123004960 is about 497.3256680667.

The spelling of 123004960 in words is "one hundred twenty-three million, four thousand, nine hundred sixty".