12991152 has 40 divisors (see below), whose sum is σ = 33948720. Its totient is φ = 4280320.

The previous prime is 12991141. The next prime is 12991157. The reversal of 12991152 is 25119921.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12991157) 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 7 ways as a sum of consecutive naturals, for example, 2752 + ... + 5792.

It is an arithmetic number, because the mean of its divisors is an integer number (848718).

Almost surely, 2^12991152 is an apocalyptic number.

12991152 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 12991152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974360).

12991152 is an abundant number, since it is smaller than the sum of its proper divisors (20957568).

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

12991152 is a wasteful number, since it uses less digits than its factorization.

12991152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3135 counting only the distinct ones).

The product of its digits is 1620, while the sum is 30.

The square root of 12991152 is about 3604.3240697806. The cubic root of 12991152 is about 235.0801115129.

The spelling of 12991152 in words is "twelve million, nine hundred ninety-one thousand, one hundred fifty-two".