12463891200 has 270 divisors, whose sum is σ = 46086601484. Its totient is φ = 3323566080.

The previous prime is 12463891177. The next prime is 12463891201. The reversal of 12463891200 is 219836421.

12463891200 is a `hidden beast` number, since 1 + 2 + 4 + 638 + 9 + 12 + 0 + 0 = 666.

12463891200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12463891201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 506379 + ... + 530421.

Almost surely, 2^12463891200 is an apocalyptic number.

12463891200 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 12463891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23043300742).

12463891200 is an abundant number, since it is smaller than the sum of its proper divisors (33622710284).

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

12463891200 is an equidigital number, since it uses as much as digits as its factorization.

12463891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24081 (or 24053 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12463891200 in words is "twelve billion, four hundred sixty-three million, eight hundred ninety-one thousand, two hundred".