12912480 has 288 divisors, whose sum is σ = 53434080. Its totient is φ = 2903040.

The previous prime is 12912479. The next prime is 12912509. The reversal of 12912480 is 8421921.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211650 + ... + 211710.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 2^12912480 is an apocalyptic number.

12912480 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 12912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

12912480 is an abundant number, since it is smaller than the sum of its proper divisors (40521600).

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

12912480 is a wasteful number, since it uses less digits than its factorization.

12912480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12912480 is about 3593.3939388828. The cubic root of 12912480 is about 234.6046165718.

The spelling of 12912480 in words is "twelve million, nine hundred twelve thousand, four hundred eighty".