12961248 has 96 divisors (see below), whose sum is σ = 36197280. Its totient is φ = 4055040.

The previous prime is 12961243. The next prime is 12961253. The reversal of 12961248 is 84216921.

It is an interprime number because it is at equal distance from previous prime (12961243) and next prime (12961253).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12961243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145588 + ... + 145676.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 2^12961248 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 12961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098640).

12961248 is an abundant number, since it is smaller than the sum of its proper divisors (23236032).

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

12961248 is a wasteful number, since it uses less digits than its factorization.

12961248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 12961248 is about 3600.1733291607. The cubic root of 12961248 is about 234.8995979732.

The spelling of 12961248 in words is "twelve million, nine hundred sixty-one thousand, two hundred forty-eight".