127769212128 has 384 divisors, whose sum is σ = 373224112128. Its totient is φ = 38142720000.

The previous prime is 127769212091. The next prime is 127769212139. The reversal of 127769212128 is 821212967721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296448073 + ... + 296448503.

It is an arithmetic number, because the mean of its divisors is an integer number (971937792).

Almost surely, 2^127769212128 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 127769212128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186612056064).

127769212128 is an abundant number, since it is smaller than the sum of its proper divisors (245454900000).

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

127769212128 is a wasteful number, since it uses less digits than its factorization.

127769212128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The spelling of 127769212128 in words is "one hundred twenty-seven billion, seven hundred sixty-nine million, two hundred twelve thousand, one hundred twenty-eight".