128287216512 has 384 divisors, whose sum is σ = 456928355520. Its totient is φ = 33642086400.

The previous prime is 128287216493. The next prime is 128287216549. The reversal of 128287216512 is 215612782821.

128287216512 is a `hidden beast` number, since 128 + 2 + 8 + 7 + 2 + 1 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×128287216512³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18971212 + ... + 18977972.

Almost surely, 2^128287216512 is an apocalyptic number.

128287216512 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 128287216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228464177760).

128287216512 is an abundant number, since it is smaller than the sum of its proper divisors (328641139008).

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

128287216512 is a wasteful number, since it uses less digits than its factorization.

128287216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6967 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 128287216512 in words is "one hundred twenty-eight billion, two hundred eighty-seven million, two hundred sixteen thousand, five hundred twelve".