127871992072512 has 168 divisors, whose sum is σ = 368321961303296. Its totient is φ = 42415129350144.

The previous prime is 127871992072481. The next prime is 127871992072547. The reversal of 127871992072512 is 215270299178721.

127871992072512 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 7 + 1 + 99 + 20 + 7 + 2 + 512 = 666.

It is a super-3 number, since 3×127871992072512³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 127871992072512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106741368 + ... + 107932680.

Almost surely, 2^{127871992072512} is an apocalyptic number.

127871992072512 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 127871992072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184160980651648).

127871992072512 is an abundant number, since it is smaller than the sum of its proper divisors (240449969230784).

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

127871992072512 is a wasteful number, since it uses less digits than its factorization.

127871992072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192245 (or 1192232 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 127871992072512 in words is "one hundred twenty-seven trillion, eight hundred seventy-one billion, nine hundred ninety-two million, seventy-two thousand, five hundred twelve".