12478512000 has 512 divisors, whose sum is σ = 43993497600. Its totient is φ = 3122380800.

The previous prime is 12478511999. The next prime is 12478512001. The reversal of 12478512000 is 21587421.

It is an interprime number because it is at equal distance from previous prime (12478511999) and next prime (12478512001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12478512001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98255937 + ... + 98256063.

It is an arithmetic number, because the mean of its divisors is an integer number (85924800).

Almost surely, 2^12478512000 is an apocalyptic number.

12478512000 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 12478512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21996748800).

12478512000 is an abundant number, since it is smaller than the sum of its proper divisors (31514985600).

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

12478512000 is a wasteful number, since it uses less digits than its factorization.

12478512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 12478512000 in words is "twelve billion, four hundred seventy-eight million, five hundred twelve thousand".