12728030515200 has 5616 divisors, whose sum is σ = 65496163352256. Its totient is φ = 2407897497600.

The previous prime is 12728030515181. The next prime is 12728030515267. The reversal of 12728030515200 is 251503082721.

12728030515200 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 80 + 3 + 0 + 51 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 174356582364 + ... + 174356582436.

Almost surely, 2^{12728030515200} is an apocalyptic number.

12728030515200 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 12728030515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32748081676128).

12728030515200 is an abundant number, since it is smaller than the sum of its proper divisors (52768132837056).

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

12728030515200 is a wasteful number, since it uses less digits than its factorization.

12728030515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 12728030515200 its reverse (251503082721), we get a palindrome (12979533597921).

The spelling of 12728030515200 in words is "twelve trillion, seven hundred twenty-eight billion, thirty million, five hundred fifteen thousand, two hundred".