12971088 has 120 divisors (see below), whose sum is σ = 40283880. Its totient is φ = 3893760.

The previous prime is 12971087. The next prime is 12971093. The reversal of 12971088 is 88017921.

It can be written as a sum of positive squares in 4 ways, for example, as 7551504 + 5419584 = 2748^2 + 2328^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12971083) 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 23 ways as a sum of consecutive naturals, for example, 316348 + ... + 316388.

It is an arithmetic number, because the mean of its divisors is an integer number (335699).

Almost surely, 2^12971088 is an apocalyptic number.

12971088 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 12971088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20141940).

12971088 is an abundant number, since it is smaller than the sum of its proper divisors (27312792).

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

12971088 is a wasteful number, since it uses less digits than its factorization.

12971088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 12971088 is about 3601.5396707519. The cubic root of 12971088 is about 234.9590271105.

It can be divided in two parts, 129 and 71088, that added together give a palindrome (71217).

The spelling of 12971088 in words is "twelve million, nine hundred seventy-one thousand, eighty-eight".