12967300 has 72 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4857600.

The previous prime is 12967261. The next prime is 12967303. The reversal of 12967300 is 376921.

12967300 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 (12967303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145656 + ... + 145744.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^12967300 is an apocalyptic number.

12967300 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 12967300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12967300 is an abundant number, since it is smaller than the sum of its proper divisors (17030780).

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

12967300 is a wasteful number, since it uses less digits than its factorization.

12967300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 12967300 is about 3601.0137461554. The cubic root of 12967300 is about 234.9361528677.

The spelling of 12967300 in words is "twelve million, nine hundred sixty-seven thousand, three hundred".