12505630338432 has 1536 divisors, whose sum is σ = 48228341760000. Its totient is φ = 3098630246400.

The previous prime is 12505630338431. The next prime is 12505630338449. The reversal of 12505630338432 is 23483303650521.

12505630338432 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 5 + 630 + 3 + 3 + 8 + 4 + 3 + 2 = 666.

It is a super-3 number, since 3×12505630338432³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12505630338431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20202956619 + ... + 20202957237.

It is an arithmetic number, because the mean of its divisors is an integer number (31398660000).

Almost surely, 2^{12505630338432} is an apocalyptic number.

12505630338432 is a gapful number since it is divisible by the number (12) 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 12505630338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24114170880000).

12505630338432 is an abundant number, since it is smaller than the sum of its proper divisors (35722711421568).

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

12505630338432 is a wasteful number, since it uses less digits than its factorization.

12505630338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 12505630338432 its reverse (23483303650521), we get a palindrome (35988933988953).

The spelling of 12505630338432 in words is "twelve trillion, five hundred five billion, six hundred thirty million, three hundred thirty-eight thousand, four hundred thirty-two".