1253120 has 72 divisors (see below), whose sum is σ = 3311280. Its totient is φ = 450560.

The previous prime is 1253111. The next prime is 1253137. The reversal of 1253120 is 213521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1253095 and 1253104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14036 + ... + 14124.

It is an arithmetic number, because the mean of its divisors is an integer number (45990).

2^1253120 is an apocalyptic number.

1253120 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 1253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655640).

1253120 is an abundant number, since it is smaller than the sum of its proper divisors (2058160).

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

1253120 is an equidigital number, since it uses as much as digits as its factorization.

1253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1253120 is about 1119.4284255816. The cubic root of 1253120 is about 107.8112845204.

Adding to 1253120 its reverse (213521), we get a palindrome (1466641).

The spelling of 1253120 in words is "one million, two hundred fifty-three thousand, one hundred twenty".