12628591428420 has 384 divisors, whose sum is σ = 44739248762880. Its totient is φ = 2927382543360.

The previous prime is 12628591428407. The next prime is 12628591428433. The reversal of 12628591428420 is 2482419582621.

It is a happy number.

12628591428420 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 8 + 591 + 4 + 2 + 8 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12628591428407) and next prime (12628591428433).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 453974352 + ... + 454002168.

It is an arithmetic number, because the mean of its divisors is an integer number (116508460320).

Almost surely, 2^{12628591428420} is an apocalyptic number.

12628591428420 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 12628591428420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22369624381440).

12628591428420 is an abundant number, since it is smaller than the sum of its proper divisors (32110657334460).

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

12628591428420 is a wasteful number, since it uses less digits than its factorization.

12628591428420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31192 (or 31184 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 12628591428420 in words is "twelve trillion, six hundred twenty-eight billion, five hundred ninety-one million, four hundred twenty-eight thousand, four hundred twenty".