12500480 has 80 divisors (see below), whose sum is σ = 31672080. Its totient is φ = 4718592.

The previous prime is 12500459. The next prime is 12500513. The reversal of 12500480 is 8400521.

12500480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48512 + ... + 48768.

It is an arithmetic number, because the mean of its divisors is an integer number (395901).

Almost surely, 2^12500480 is an apocalyptic number.

12500480 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 12500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836040).

12500480 is an abundant number, since it is smaller than the sum of its proper divisors (19171600).

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

12500480 is an equidigital number, since it uses as much as digits as its factorization.

12500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 12500480 is about 3535.6017875321. The cubic root of 12500480 is about 232.0824122595.

The spelling of 12500480 in words is "twelve million, five hundred thousand, four hundred eighty".