127970988912 has 480 divisors, whose sum is σ = 421056592320. Its totient is φ = 37354659840.

The previous prime is 127970988911. The next prime is 127970988919. The reversal of 127970988912 is 219889079721.

It is a self number, because there is not a number n which added to its sum of digits gives 127970988912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127970988911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76674414 + ... + 76676082.

It is an arithmetic number, because the mean of its divisors is an integer number (877201234).

Almost surely, 2^127970988912 is an apocalyptic number.

127970988912 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 127970988912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210528296160).

127970988912 is an abundant number, since it is smaller than the sum of its proper divisors (293085603408).

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

127970988912 is a wasteful number, since it uses less digits than its factorization.

127970988912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 63.

The spelling of 127970988912 in words is "one hundred twenty-seven billion, nine hundred seventy million, nine hundred eighty-eight thousand, nine hundred twelve".