12978 has 24 divisors (see below), whose sum is σ = 32448. Its totient is φ = 3672.

The previous prime is 12973. The next prime is 12979. The reversal of 12978 is 87921.

12978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (1352).

2¹²⁹⁷⁸ is an apocalyptic number.

12978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224).

12978 is an abundant number, since it is smaller than the sum of its proper divisors (19470).

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

12978 is a wasteful number, since it uses less digits than its factorization.

12978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 115 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 12978 is about 113.9210252763. The cubic root of 12978 is about 23.5000754487.

It can be divided in two parts, 12 and 978, that added together give a triangular number (990 = T₄₄).

The spelling of 12978 in words is "twelve thousand, nine hundred seventy-eight".