12728205129900 has 72 divisors (see below), whose sum is σ = 39659781739984. Its totient is φ = 3133096646400.

The previous prime is 12728205129859. The next prime is 12728205129911. The reversal of 12728205129900 is 992150282721.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12728205129900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1631817271 + ... + 1631825070.

Almost surely, 2^{12728205129900} is an apocalyptic number.

12728205129900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12728205129900 is an abundant number, since it is smaller than the sum of its proper divisors (26931576610084).

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

12728205129900 is a wasteful number, since it uses less digits than its factorization.

12728205129900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263642371 (or 3263642364 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 12728205129900 in words is "twelve trillion, seven hundred twenty-eight billion, two hundred five million, one hundred twenty-nine thousand, nine hundred".