127768026120 has 128 divisors (see below), whose sum is σ = 448746359040. Its totient is φ = 28491816960.

The previous prime is 127768026083. The next prime is 127768026121. The reversal of 127768026120 is 21620867721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (127768026121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1820497 + ... + 1889376.

It is an arithmetic number, because the mean of its divisors is an integer number (3505830930).

Almost surely, 2^127768026120 is an apocalyptic number.

127768026120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127768026120 is an abundant number, since it is smaller than the sum of its proper divisors (320978332920).

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

127768026120 is a wasteful number, since it uses less digits than its factorization.

127768026120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709935 (or 3709931 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 127768026120 in words is "one hundred twenty-seven billion, seven hundred sixty-eight million, twenty-six thousand, one hundred twenty".