12512102400 has 720 divisors, whose sum is σ = 53085352320. Its totient is φ = 2853273600.

The previous prime is 12512102381. The next prime is 12512102401. The reversal of 12512102400 is 420121521.

12512102400 is a `hidden beast` number, since 1 + 2 + 51 + 210 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12512102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29030185 + ... + 29030615.

It is an arithmetic number, because the mean of its divisors is an integer number (73729656).

Almost surely, 2^12512102400 is an apocalyptic number.

12512102400 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 12512102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26542676160).

12512102400 is an abundant number, since it is smaller than the sum of its proper divisors (40573249920).

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

12512102400 is an equidigital number, since it uses as much as digits as its factorization.

12512102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12512102400 its reverse (420121521), we get a palindrome (12932223921).

The spelling of 12512102400 in words is "twelve billion, five hundred twelve million, one hundred two thousand, four hundred".