12249984 has 128 divisors (see below), whose sum is σ = 36230400. Its totient is φ = 3649536.

The previous prime is 12249983. The next prime is 12249989. The reversal of 12249984 is 48994221.

12249984 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 (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12249983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167772 + ... + 167844.

It is an arithmetic number, because the mean of its divisors is an integer number (283050).

Almost surely, 2^12249984 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 12249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115200).

12249984 is an abundant number, since it is smaller than the sum of its proper divisors (23980416).

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

12249984 is a wasteful number, since it uses less digits than its factorization.

12249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 12249984 is about 3499.9977142850. The cubic root of 12249984 is about 230.5217142396.

It can be divided in two parts, 122499 and 84, that multiplied together give a triangular number (10289916 = T₄₅₃₆).

The spelling of 12249984 in words is "twelve million, two hundred forty-nine thousand, nine hundred eighty-four".