12885152 has 96 divisors (see below), whose sum is σ = 31497984. Its totient is φ = 5068800.

The previous prime is 12885149. The next prime is 12885203. The reversal of 12885152 is 25158821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a cake number, because a cake can be divided into 12885152 parts by 426 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211202 + ... + 211262.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^12885152 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 12885152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748992).

12885152 is an abundant number, since it is smaller than the sum of its proper divisors (18612832).

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

12885152 is a wasteful number, since it uses less digits than its factorization.

12885152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its digits is 6400, while the sum is 32.

The square root of 12885152 is about 3589.5893915600. The cubic root of 12885152 is about 234.4389937730.

It can be divided in two parts, 1288 and 5152, that multiplied together give a square (6635776 = 2576²).

The spelling of 12885152 in words is "twelve million, eight hundred eighty-five thousand, one hundred fifty-two".