12978225 has 120 divisors (see below), whose sum is σ = 28357560. Its totient is φ = 5806080.

The previous prime is 12978211. The next prime is 12978227. The reversal of 12978225 is 52287921.

It can be written as a sum of positive squares in 12 ways, for example, as 3779136 + 9199089 = 1944^2 + 3033^2 .

It is not a de Polignac number, because 12978225 - 2¹³ = 12970033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12978225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12978227) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447511 + ... + 447539.

It is an arithmetic number, because the mean of its divisors is an integer number (236313).

Almost surely, 2^12978225 is an apocalyptic number.

12978225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12978225 is an abundant number, since it is smaller than the sum of its proper divisors (15379335).

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

12978225 is a wasteful number, since it uses less digits than its factorization.

12978225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 67 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12978225 is about 3602.5303607326. The cubic root of 12978225 is about 235.0021125508.

It can be divided in two parts, 12978 and 225, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12978225 in words is "twelve million, nine hundred seventy-eight thousand, two hundred twenty-five".