1271120 has 20 divisors (see below), whose sum is σ = 2955540. Its totient is φ = 508416.

The previous prime is 1271117. The next prime is 1271129. The reversal of 1271120 is 211721.

It can be written as a sum of positive squares in 2 ways, for example, as 364816 + 906304 = 604^2 + 952^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 1271095 and 1271104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7865 + ... + 8024.

It is an arithmetic number, because the mean of its divisors is an integer number (147777).

2^1271120 is an apocalyptic number.

1271120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1271120 is an abundant number, since it is smaller than the sum of its proper divisors (1684420).

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

1271120 is a wasteful number, since it uses less digits than its factorization.

1271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15902 (or 15896 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 1271120 is about 1127.4395770949. The cubic root of 1271120 is about 108.3250381551.

Adding to 1271120 its reverse (211721), we get a palindrome (1482841).

The spelling of 1271120 in words is "one million, two hundred seventy-one thousand, one hundred twenty".