127681120 has 48 divisors (see below), whose sum is σ = 344742048. Its totient is φ = 43776000.

The previous prime is 127681109. The next prime is 127681129. The reversal of 127681120 is 21186721.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127681129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55881 + ... + 58120.

It is an arithmetic number, because the mean of its divisors is an integer number (7182126).

Almost surely, 2^127681120 is an apocalyptic number.

127681120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127681120 is an abundant number, since it is smaller than the sum of its proper divisors (217060928).

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

127681120 is a wasteful number, since it uses less digits than its factorization.

127681120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114023 (or 114015 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 127681120 is about 11299.6070728145. The cubic root of 127681120 is about 503.5495681682.

The spelling of 127681120 in words is "one hundred twenty-seven million, six hundred eighty-one thousand, one hundred twenty".