127120 has 40 divisors (see below), whose sum is σ = 339264. Its totient is φ = 43392.

The previous prime is 127103. The next prime is 127123. The reversal of 127120 is 21721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 127120.

It is not an unprimeable number, because it can be changed into a prime (127123) by changing a digit.

127120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447 + ... + 673.

2¹²⁷¹²⁰ is an apocalyptic number.

127120 is a gapful number since it is divisible by the number (10) 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 127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632).

127120 is an abundant number, since it is smaller than the sum of its proper divisors (212144).

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

127120 is a wasteful number, since it uses less digits than its factorization.

127120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 127120 is about 356.5389179318. The cubic root of 127120 is about 50.2810835464.

Adding to 127120 its reverse (21721), we get a palindrome (148841).

The spelling of 127120 in words is "one hundred twenty-seven thousand, one hundred twenty", and thus it is an iban number.