1261120 has 56 divisors (see below), whose sum is σ = 3438144. Its totient is φ = 431616.

The previous prime is 1261109. The next prime is 1261121. The reversal of 1261120 is 211621.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1261120.

It is not an unprimeable number, because it can be changed into a prime (1261121) 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, 1959 + ... + 2521.

2^1261120 is an apocalyptic number.

1261120 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 1261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719072).

1261120 is an abundant number, since it is smaller than the sum of its proper divisors (2177024).

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

1261120 is an equidigital number, since it uses as much as digits as its factorization.

1261120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1261120 is about 1122.9959928691. The cubic root of 1261120 is about 108.0402227865.

Adding to 1261120 its reverse (211621), we get a palindrome (1472741).

It can be divided in two parts, 1 and 261120, that added together give a square (261121 = 511²).

The spelling of 1261120 in words is "one million, two hundred sixty-one thousand, one hundred twenty".