12693200 has 60 divisors (see below), whose sum is σ = 32854668. Its totient is φ = 4684800.

The previous prime is 12693193. The next prime is 12693209. The reversal of 12693200 is 239621.

It can be written as a sum of positive squares in 6 ways, for example, as 3717184 + 8976016 = 1928^2 + 2996^2 .

It is a super-3 number, since 3×12693200³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12693209) 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, 3980 + ... + 6420.

Almost surely, 2^12693200 is an apocalyptic number.

12693200 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 12693200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427334).

12693200 is an abundant number, since it is smaller than the sum of its proper divisors (20161468).

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

12693200 is a wasteful number, since it uses less digits than its factorization.

12693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 12693200 is about 3562.7517454911. The cubic root of 12693200 is about 233.2690072113.

The spelling of 12693200 in words is "twelve million, six hundred ninety-three thousand, two hundred".