12461803200 has 504 divisors, whose sum is σ = 55226346240. Its totient is φ = 2589235200.

The previous prime is 12461803183. The next prime is 12461803217. The reversal of 12461803200 is 230816421.

12461803200 is a `hidden beast` number, since 1 + 24 + 618 + 0 + 3 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12461803183) and next prime (12461803217).

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1103181 + ... + 1114419.

Almost surely, 2^12461803200 is an apocalyptic number.

12461803200 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 12461803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27613173120).

12461803200 is an abundant number, since it is smaller than the sum of its proper divisors (42764543040).

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

12461803200 is a wasteful number, since it uses less digits than its factorization.

12461803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11285 (or 11267 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12461803200 in words is "twelve billion, four hundred sixty-one million, eight hundred three thousand, two hundred".