1127120 has 40 divisors (see below), whose sum is σ = 2670216. Its totient is φ = 442368.

The previous prime is 1127111. The next prime is 1127123. The reversal of 1127120 is 217211.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 1073296 = 232^2 + 1036^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1127095 and 1127104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1127123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5744 + ... + 5936.

2^1127120 is an apocalyptic number.

1127120 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 1127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335108).

1127120 is an abundant number, since it is smaller than the sum of its proper divisors (1543096).

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

1127120 is a wasteful number, since it uses less digits than its factorization.

1127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

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

The square root of 1127120 is about 1061.6590789891. The cubic root of 1127120 is about 104.0694801986.

Subtracting from 1127120 its reverse (217211), we obtain a palindrome (909909).

The spelling of 1127120 in words is "one million, one hundred twenty-seven thousand, one hundred twenty".