12512636126400 has 672 divisors, whose sum is σ = 44618469503040. Its totient is φ = 3058237440000.

The previous prime is 12512636126381. The next prime is 12512636126407. The reversal of 12512636126400 is 462163621521.

It is not an unprimeable number, because it can be changed into a prime (12512636126407) 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 95 ways as a sum of consecutive naturals, for example, 502725156 + ... + 502750044.

Almost surely, 2^{12512636126400} is an apocalyptic number.

12512636126400 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 12512636126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22309234751520).

12512636126400 is an abundant number, since it is smaller than the sum of its proper divisors (32105833376640).

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

12512636126400 is a wasteful number, since it uses less digits than its factorization.

12512636126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25093 (or 25078 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 12512636126400 its reverse (462163621521), we get a palindrome (12974799747921).

The spelling of 12512636126400 in words is "twelve trillion, five hundred twelve billion, six hundred thirty-six million, one hundred twenty-six thousand, four hundred".