12007984 has 40 divisors (see below), whose sum is σ = 24895728. Its totient is φ = 5591040.

The previous prime is 12007939. The next prime is 12007999. The reversal of 12007984 is 48970021.

12007984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 35464 + ... + 35800.

Almost surely, 2^12007984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12007984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447864).

12007984 is an abundant number, since it is smaller than the sum of its proper divisors (12887744).

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

12007984 is a wasteful number, since it uses less digits than its factorization.

12007984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 12007984 is about 3465.2538146577. The cubic root of 12007984 is about 228.9936116904.

The spelling of 12007984 in words is "twelve million, seven thousand, nine hundred eighty-four".