128131894512 has 360 divisors, whose sum is σ = 381718537200. Its totient is φ = 40104751104.

The previous prime is 128131894507. The next prime is 128131894547. The reversal of 128131894512 is 215498131821.

128131894512 is a `hidden beast` number, since 1 + 2 + 8 + 13 + 189 + 451 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1175521914 + ... + 1175522022.

It is an arithmetic number, because the mean of its divisors is an integer number (1060329270).

Almost surely, 2^128131894512 is an apocalyptic number.

128131894512 is a gapful number since it is divisible by the number (12) 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 128131894512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190859268600).

128131894512 is an abundant number, since it is smaller than the sum of its proper divisors (253586642688).

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

128131894512 is a wasteful number, since it uses less digits than its factorization.

128131894512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 307 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 128131894512 in words is "one hundred twenty-eight billion, one hundred thirty-one million, eight hundred ninety-four thousand, five hundred twelve".