12253200 has 60 divisors (see below), whose sum is σ = 39254928. Its totient is φ = 3267200.

The previous prime is 12253193. The next prime is 12253211. The reversal of 12253200 is 235221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12253200.

It is an unprimeable number.

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, 3906 + ... + 6305.

Almost surely, 2^12253200 is an apocalyptic number.

12253200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12253200 is an abundant number, since it is smaller than the sum of its proper divisors (27001728).

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

12253200 is a wasteful number, since it uses less digits than its factorization.

12253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 12253200 is about 3500.4571130068. The cubic root of 12253200 is about 230.5418855032.

Adding to 12253200 its reverse (235221), we get a palindrome (12488421).

The spelling of 12253200 in words is "twelve million, two hundred fifty-three thousand, two hundred".