12505215430400 has 864 divisors, whose sum is σ = 39656171842560. Its totient is φ = 3790651392000.

The previous prime is 12505215430397. The next prime is 12505215430427. The reversal of 12505215430400 is 403451250521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8021304821 + ... + 8021306379.

It is an arithmetic number, because the mean of its divisors is an integer number (45898347040).

Almost surely, 2^{12505215430400} is an apocalyptic number.

12505215430400 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 12505215430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828085921280).

12505215430400 is an abundant number, since it is smaller than the sum of its proper divisors (27150956412160).

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

12505215430400 is a wasteful number, since it uses less digits than its factorization.

12505215430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 12505215430400 its reverse (403451250521), we get a palindrome (12908666680921).

The spelling of 12505215430400 in words is "twelve trillion, five hundred five billion, two hundred fifteen million, four hundred thirty thousand, four hundred".