1255120 has 40 divisors (see below), whose sum is σ = 3024360. Its totient is φ = 483840.

The previous prime is 1255117. The next prime is 1255123. The reversal of 1255120 is 215521.

It is an interprime number because it is at equal distance from previous prime (1255117) and next prime (1255123).

It can be written as a sum of positive squares in 4 ways, for example, as 97344 + 1157776 = 312^2 + 1076^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1255094 and 1255103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255123) 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, 2050 + ... + 2590.

It is an arithmetic number, because the mean of its divisors is an integer number (75609).

2^1255120 is an apocalyptic number.

1255120 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 1255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512180).

1255120 is an abundant number, since it is smaller than the sum of its proper divisors (1769240).

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

1255120 is a wasteful number, since it uses less digits than its factorization.

1255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1255120 is about 1120.3213824613. The cubic root of 1255120 is about 107.8686102243.

It can be divided in two parts, 125 and 5120, that multiplied together give a square (640000 = 800²).

The spelling of 1255120 in words is "one million, two hundred fifty-five thousand, one hundred twenty".