12461800 has 48 divisors (see below), whose sum is σ = 31208940. Its totient is φ = 4600320.

The previous prime is 12461797. The next prime is 12461807. The reversal of 12461800 is 816421.

It can be written as a sum of positive squares in 6 ways, for example, as 4588164 + 7873636 = 2142^2 + 2806^2 .

It is not an unprimeable number, because it can be changed into a prime (12461807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 4996.

Almost surely, 2^12461800 is an apocalyptic number.

12461800 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 12461800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604470).

12461800 is an abundant number, since it is smaller than the sum of its proper divisors (18747140).

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

12461800 is a wasteful number, since it uses less digits than its factorization.

12461800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12461800 is about 3530.1274764518. The cubic root of 12461800 is about 231.8427888551.

The spelling of 12461800 in words is "twelve million, four hundred sixty-one thousand, eight hundred".