12967152 has 80 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3827200.

The previous prime is 12967151. The next prime is 12967153. The reversal of 12967152 is 25176921.

It is an interprime number because it is at equal distance from previous prime (12967151) and next prime (12967153).

It is a super-2 number, since 2×12967152² = 336294061982208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21349 + ... + 21947.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^12967152 is an apocalyptic number.

12967152 is a gapful number since it is divisible by the number (12) 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 12967152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12967152 is an abundant number, since it is smaller than the sum of its proper divisors (24530448).

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

12967152 is a wasteful number, since it uses less digits than its factorization.

12967152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 12967152 is about 3600.9931963279. The cubic root of 12967152 is about 234.9352590635.

It can be divided in two parts, 1296 and 7152, that added together give a palindrome (8448).

The spelling of 12967152 in words is "twelve million, nine hundred sixty-seven thousand, one hundred fifty-two".