12461200 has 30 divisors (see below), whose sum is σ = 29938994. Its totient is φ = 4984320.

The previous prime is 12461191. The next prime is 12461209. The reversal of 12461200 is 216421.

It is an interprime number because it is at equal distance from previous prime (12461191) and next prime (12461209).

It can be written as a sum of positive squares in 3 ways, for example, as 183184 + 12278016 = 428^2 + 3504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12461209) 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, 15177 + ... + 15976.

Almost surely, 2^12461200 is an apocalyptic number.

12461200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12461200 is an abundant number, since it is smaller than the sum of its proper divisors (17477794).

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

12461200 is a wasteful number, since it uses less digits than its factorization.

12461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31171 (or 31160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12461200 is about 3530.0424926621. The cubic root of 12461200 is about 231.8390679398.

Adding to 12461200 its reverse (216421), we get a palindrome (12677621).

The spelling of 12461200 in words is "twelve million, four hundred sixty-one thousand, two hundred".