12986400 has 144 divisors (see below), whose sum is σ = 48371904. Its totient is φ = 2964480.

The previous prime is 12986399. The next prime is 12986411. The reversal of 12986400 is 468921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16414 + ... + 17186.

It is an arithmetic number, because the mean of its divisors is an integer number (335916).

Almost surely, 2^12986400 is an apocalyptic number.

12986400 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 12986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24185952).

12986400 is an abundant number, since it is smaller than the sum of its proper divisors (35385504).

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

12986400 is a wasteful number, since it uses less digits than its factorization.

12986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12986400 is about 3603.6648012822. The cubic root of 12986400 is about 235.0514449013.

The spelling of 12986400 in words is "twelve million, nine hundred eighty-six thousand, four hundred".