12971040 has 96 divisors (see below), whose sum is σ = 41622336. Its totient is φ = 3394560.

The previous prime is 12971039. The next prime is 12971041. The reversal of 12971040 is 4017921.

It is an interprime number because it is at equal distance from previous prime (12971039) and next prime (12971041).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12971040.

It is not an unprimeable number, because it can be changed into a prime (12971041) 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, 29059 + ... + 29501.

It is an arithmetic number, because the mean of its divisors is an integer number (433566).

Almost surely, 2^12971040 is an apocalyptic number.

12971040 is a gapful number since it is divisible by the number (10) 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 12971040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20811168).

12971040 is an abundant number, since it is smaller than the sum of its proper divisors (28651296).

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

12971040 is a wasteful number, since it uses less digits than its factorization.

12971040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12971040 is about 3601.5330069291. The cubic root of 12971040 is about 234.9587372852.

Adding to 12971040 its reverse (4017921), we get a palindrome (16988961).

The spelling of 12971040 in words is "twelve million, nine hundred seventy-one thousand, forty".