12511200 has 144 divisors (see below), whose sum is σ = 43965936. Its totient is φ = 3072000.

The previous prime is 12511199. The next prime is 12511207. The reversal of 12511200 is 211521.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12511207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31000 + ... + 31400.

It is an arithmetic number, because the mean of its divisors is an integer number (305319).

Almost surely, 2^12511200 is an apocalyptic number.

12511200 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 12511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21982968).

12511200 is an abundant number, since it is smaller than the sum of its proper divisors (31454736).

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

12511200 is a wasteful number, since it uses less digits than its factorization.

12511200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 12511200 is about 3537.1174704836. The cubic root of 12511200 is about 232.1487353823.

Adding to 12511200 its reverse (211521), we get a palindrome (12722721).

It can be divided in two parts, 125 and 11200, that added together give a triangular number (11325 = T₁₅₀).

The spelling of 12511200 in words is "twelve million, five hundred eleven thousand, two hundred".