12451200 has 96 divisors (see below), whose sum is σ = 41042760. Its totient is φ = 3317760.

The previous prime is 12451169. The next prime is 12451217. The reversal of 12451200 is 215421.

It is a tau number, because it is divible by the number of its divisors (96).

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 12451200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8952 + ... + 10248.

Almost surely, 2^12451200 is an apocalyptic number.

12451200 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 12451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20521380).

12451200 is an abundant number, since it is smaller than the sum of its proper divisors (28591560).

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

12451200 is a wasteful number, since it uses less digits than its factorization.

12451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12451200 is about 3528.6257948386. The cubic root of 12451200 is about 231.7770350933. Note that the first 3 decimals are identical.

Adding to 12451200 its reverse (215421), we get a palindrome (12666621).

The spelling of 12451200 in words is "twelve million, four hundred fifty-one thousand, two hundred".