12984048 has 120 divisors (see below), whose sum is σ = 45342336. Its totient is φ = 3369600.

The previous prime is 12984031. The next prime is 12984053. The reversal of 12984048 is 84048921.

12984048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10503 + ... + 11673.

Almost surely, 2^12984048 is an apocalyptic number.

12984048 is a gapful number since it is divisible by the number (18) 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 12984048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22671168).

12984048 is an abundant number, since it is smaller than the sum of its proper divisors (32358288).

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

12984048 is a wasteful number, since it uses less digits than its factorization.

12984048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12984048 is about 3603.3384520469. The cubic root of 12984048 is about 235.0372537892.

The spelling of 12984048 in words is "twelve million, nine hundred eighty-four thousand, forty-eight".