12653200 has 60 divisors (see below), whose sum is σ = 34749760. Its totient is φ = 4337280.

The previous prime is 12653191. The next prime is 12653203. The reversal of 12653200 is 235621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12653203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 541 + ... + 5059.

Almost surely, 2^12653200 is an apocalyptic number.

12653200 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 12653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374880).

12653200 is an abundant number, since it is smaller than the sum of its proper divisors (22096560).

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

12653200 is a wasteful number, since it uses less digits than its factorization.

12653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 12653200 is about 3557.1336775556. The cubic root of 12653200 is about 233.0237163257.

Adding to 12653200 its reverse (235621), we get a palindrome (12888821).

It can be divided in two parts, 1265 and 3200, that added together give a triangular number (4465 = T₉₄).

The spelling of 12653200 in words is "twelve million, six hundred fifty-three thousand, two hundred".