12475008000 has 1584 divisors, whose sum is σ = 59629503024. Its totient is φ = 2477260800.

The previous prime is 12475007999. The next prime is 12475008037. The reversal of 12475008000 is 80057421.

It can be written as a sum of positive squares in 8 ways, for example, as 4606608384 + 7868399616 = 67872^2 + 88704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 733823992 + ... + 733824008.

Almost surely, 2^12475008000 is an apocalyptic number.

12475008000 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 12475008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29814751512).

12475008000 is an abundant number, since it is smaller than the sum of its proper divisors (47154495024).

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

12475008000 is a wasteful number, since it uses less digits than its factorization.

12475008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12475008000 in words is "twelve billion, four hundred seventy-five million, eight thousand".