1314120 has 64 divisors (see below), whose sum is σ = 4043520. Its totient is φ = 341504.

The previous prime is 1314113. The next prime is 1314127. The reversal of 1314120 is 214131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1314113) and next prime (1314127).

It is a super-2 number, since 2×1314120² = 3453822748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1314096 and 1314105.

It is not an unprimeable number, because it can be changed into a prime (1314127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5524 + ... + 5756.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2^1314120 is an apocalyptic number.

1314120 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 1314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021760).

1314120 is an abundant number, since it is smaller than the sum of its proper divisors (2729400).

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

1314120 is a wasteful number, since it uses less digits than its factorization.

1314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1314120 is about 1146.3507316698. The cubic root of 1314120 is about 109.5330064591.

Adding to 1314120 its reverse (214131), we get a palindrome (1528251).

The spelling of 1314120 in words is "one million, three hundred fourteen thousand, one hundred twenty".