12628403712 has 80 divisors (see below), whose sum is σ = 37380992880. Its totient is φ = 4209463296.

The previous prime is 12628403707. The next prime is 12628403729. The reversal of 12628403712 is 21730482621.

It is a happy number.

12628403712 is a `hidden beast` number, since 1 + 2 + 6 + 284 + 0 + 371 + 2 = 666.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442933 + ... + 470580.

It is an arithmetic number, because the mean of its divisors is an integer number (467262411).

Almost surely, 2^12628403712 is an apocalyptic number.

12628403712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12628403712 is an abundant number, since it is smaller than the sum of its proper divisors (24752589168).

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

12628403712 is an frugal number, since it uses more digits than its factorization.

12628403712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913540 (or 913518 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12628403712 in words is "twelve billion, six hundred twenty-eight million, four hundred three thousand, seven hundred twelve".