12512145360 has 640 divisors, whose sum is σ = 48308908032. Its totient is φ = 2657740800.

The previous prime is 12512145343. The next prime is 12512145361. The reversal of 12512145360 is 6354121521.

12512145360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12512145361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95512495 + ... + 95512625.

Almost surely, 2^12512145360 is an apocalyptic number.

12512145360 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 12512145360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24154454016).

12512145360 is an abundant number, since it is smaller than the sum of its proper divisors (35796762672).

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

12512145360 is a wasteful number, since it uses less digits than its factorization.

12512145360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 12512145360 its reverse (6354121521), we get a palindrome (18866266881).

The spelling of 12512145360 in words is "twelve billion, five hundred twelve million, one hundred forty-five thousand, three hundred sixty".