12253120 has 84 divisors (see below), whose sum is σ = 32378904. Its totient is φ = 4380160.

The previous prime is 12253117. The next prime is 12253127. The reversal of 12253120 is 2135221.

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 = 12253094 and 12253103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207651 + ... + 207709.

Almost surely, 2^12253120 is an apocalyptic number.

12253120 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 12253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189452).

12253120 is an abundant number, since it is smaller than the sum of its proper divisors (20125784).

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

12253120 is an equidigital number, since it uses as much as digits as its factorization.

12253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12253120 is about 3500.4456859092. The cubic root of 12253120 is about 230.5413837732.

Adding to 12253120 its reverse (2135221), we get a palindrome (14388341).

The spelling of 12253120 in words is "twelve million, two hundred fifty-three thousand, one hundred twenty".