12891800 has 48 divisors (see below), whose sum is σ = 30418440. Its totient is φ = 5080320.

The previous prime is 12891761. The next prime is 12891803. The reversal of 12891800 is 819821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12891803) 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 11 ways as a sum of consecutive naturals, for example, 14159 + ... + 15041.

Almost surely, 2^12891800 is an apocalyptic number.

12891800 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 12891800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209220).

12891800 is an abundant number, since it is smaller than the sum of its proper divisors (17526640).

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

12891800 is a wasteful number, since it uses less digits than its factorization.

12891800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 12891800 is about 3590.5152833542. The cubic root of 12891800 is about 234.4793058693.

The spelling of 12891800 in words is "twelve million, eight hundred ninety-one thousand, eight hundred".