12480600 has 192 divisors, whose sum is σ = 44282880. Its totient is φ = 2880000.

The previous prime is 12480577. The next prime is 12480617. The reversal of 12480600 is 608421.

12480600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 204570 + ... + 204630.

It is an arithmetic number, because the mean of its divisors is an integer number (230640).

Almost surely, 2^12480600 is an apocalyptic number.

12480600 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 12480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141440).

12480600 is an abundant number, since it is smaller than the sum of its proper divisors (31802280).

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

12480600 is a wasteful number, since it uses less digits than its factorization.

12480600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12480600 is about 3532.7892662880. The cubic root of 12480600 is about 231.9593170836.

The spelling of 12480600 in words is "twelve million, four hundred eighty thousand, six hundred".