127054690138112 has 144 divisors (see below), whose sum is σ = 288249947294400. Its totient is φ = 55889156505600.

The previous prime is 127054690138093. The next prime is 127054690138219. The reversal of 127054690138112 is 211831096450721.

It is a super-2 number, since 2×127054690138112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 587537 + ... + 15951632.

It is an arithmetic number, because the mean of its divisors is an integer number (2001735745100).

It is a 2-persistent number, because it is pandigital, and so is 2⋅127054690138112 = 254109380276224, but 3⋅127054690138112 = 381164070414336 is not.

Almost surely, 2^{127054690138112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127054690138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144124973647200).

127054690138112 is an abundant number, since it is smaller than the sum of its proper divisors (161195257156288).

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

127054690138112 is a wasteful number, since it uses less digits than its factorization.

127054690138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16539244 (or 16539213 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 127054690138112 in words is "one hundred twenty-seven trillion, fifty-four billion, six hundred ninety million, one hundred thirty-eight thousand, one hundred twelve".