1303120 has 80 divisors (see below), whose sum is σ = 3749760. Its totient is φ = 410112.

The previous prime is 1303117. The next prime is 1303121. The reversal of 1303120 is 213031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1303097 and 1303106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7191 + ... + 7369.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2^1303120 is an apocalyptic number.

1303120 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 1303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874880).

1303120 is an abundant number, since it is smaller than the sum of its proper divisors (2446640).

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

1303120 is a wasteful number, since it uses less digits than its factorization.

1303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1303120 is about 1141.5428156666. The cubic root of 1303120 is about 109.2265299806.

Adding to 1303120 its reverse (213031), we get a palindrome (1516151).

The spelling of 1303120 in words is "one million, three hundred three thousand, one hundred twenty".