12482942400 has 420 divisors, whose sum is σ = 46665890920. Its totient is φ = 3272140800.

The previous prime is 12482942387. The next prime is 12482942401. The reversal of 12482942400 is 424928421.

12482942400 is a `hidden beast` number, since 1 + 248 + 2 + 9 + 4 + 2 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12482942401) 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 59 ways as a sum of consecutive naturals, for example, 7904811 + ... + 7906389.

Almost surely, 2^12482942400 is an apocalyptic number.

12482942400 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 12482942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23332945460).

12482942400 is an abundant number, since it is smaller than the sum of its proper divisors (34182948520).

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

12482942400 is a wasteful number, since it uses less digits than its factorization.

12482942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12482942400 in words is "twelve billion, four hundred eighty-two million, nine hundred forty-two thousand, four hundred".