127829141474112 has 336 divisors, whose sum is σ = 411802544724480. Its totient is φ = 37616195764224.

The previous prime is 127829141474071. The next prime is 127829141474129. The reversal of 127829141474112 is 211474141928721.

127829141474112 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 29 + 141 + 474 + 1 + 1 + 2 = 666.

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, 1198453488 + ... + 1198560144.

It is an arithmetic number, because the mean of its divisors is an integer number (1225602811680).

Almost surely, 2^{127829141474112} is an apocalyptic number.

127829141474112 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 127829141474112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205901272362240).

127829141474112 is an abundant number, since it is smaller than the sum of its proper divisors (283973403250368).

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

127829141474112 is a wasteful number, since it uses less digits than its factorization.

127829141474112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113670 (or 113657 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 127829141474112 in words is "one hundred twenty-seven trillion, eight hundred twenty-nine billion, one hundred forty-one million, four hundred seventy-four thousand, one hundred twelve".