12498960 has 80 divisors (see below), whose sum is σ = 40800960. Its totient is φ = 3156480.

The previous prime is 12498953. The next prime is 12498977. The reversal of 12498960 is 6989421.

12498960 = T₁₂₁ + T₁₂₂ + ... + T₄₂₄.

It is a tau number, because it is divible by the number of its divisors (80).

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, 3190 + ... + 5930.

It is an arithmetic number, because the mean of its divisors is an integer number (510012).

Almost surely, 2^12498960 is an apocalyptic number.

12498960 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 12498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20400480).

12498960 is an abundant number, since it is smaller than the sum of its proper divisors (28302000).

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

12498960 is a wasteful number, since it uses less digits than its factorization.

12498960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 12498960 is about 3535.3868246629. The cubic root of 12498960 is about 232.0730051656.

The spelling of 12498960 in words is "twelve million, four hundred ninety-eight thousand, nine hundred sixty".