12253760 has 56 divisors (see below), whose sum is σ = 29489400. Its totient is φ = 4849664.

The previous prime is 12253729. The next prime is 12253777. The reversal of 12253760 is 6735221.

12253760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 10086976 = 1472^2 + 3176^2 .

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, 47552 + ... + 47808.

Almost surely, 2^12253760 is an apocalyptic number.

12253760 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 12253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14744700).

12253760 is an abundant number, since it is smaller than the sum of its proper divisors (17235640).

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

12253760 is a wasteful number, since it uses less digits than its factorization.

12253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 12253760 is about 3500.5371016460. The cubic root of 12253760 is about 230.5453975514.

Adding to 12253760 its reverse (6735221), we get a palindrome (18988981).

The spelling of 12253760 in words is "twelve million, two hundred fifty-three thousand, seven hundred sixty".