12533200 has 30 divisors (see below), whose sum is σ = 30111974. Its totient is φ = 5013120.

The previous prime is 12533197. The next prime is 12533201. The reversal of 12533200 is 233521.

It can be written as a sum of positive squares in 3 ways, for example, as 4376464 + 8156736 = 2092^2 + 2856^2 .

It is a super-2 number, since 2×12533200² = 314162204480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12533201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15267 + ... + 16066.

Almost surely, 2^12533200 is an apocalyptic number.

12533200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12533200 is an abundant number, since it is smaller than the sum of its proper divisors (17578774).

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

12533200 is a wasteful number, since it uses less digits than its factorization.

12533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31351 (or 31340 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 12533200 is about 3540.2259814876. The cubic root of 12533200 is about 232.2847277069.

Adding to 12533200 its reverse (233521), we get a palindrome (12766721).

The spelling of 12533200 in words is "twelve million, five hundred thirty-three thousand, two hundred".