6128120012436 has 96 divisors (see below), whose sum is σ = 15908425478400. Its totient is φ = 2040046197120.

The previous prime is 6128120012327. The next prime is 6128120012449. The reversal of 6128120012436 is 6342100218216.

It is a happy number.

6128120012436 is a `hidden beast` number, since 6 + 1 + 2 + 8 + 1 + 200 + 12 + 436 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6128120012436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272919786 + ... + 272942238.

It is an arithmetic number, because the mean of its divisors is an integer number (165712765400).

Almost surely, 2^{6128120012436} is an apocalyptic number.

It is an amenable number.

6128120012436 is an abundant number, since it is smaller than the sum of its proper divisors (9780305465964).

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

6128120012436 is a wasteful number, since it uses less digits than its factorization.

6128120012436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25646 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 6128120012436 in words is "six trillion, one hundred twenty-eight billion, one hundred twenty million, twelve thousand, four hundred thirty-six".