12053120 has 64 divisors (see below), whose sum is σ = 29651400. Its totient is φ = 4681728.

The previous prime is 12053117. The next prime is 12053131. The reversal of 12053120 is 2135021.

It is a happy number.

12053120 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 11999296 + 53824 = 3464^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12053095 and 12053104.

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, 23426 + ... + 23934.

Almost surely, 2^12053120 is an apocalyptic number.

12053120 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 12053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825700).

12053120 is an abundant number, since it is smaller than the sum of its proper divisors (17598280).

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

12053120 is an equidigital number, since it uses as much as digits as its factorization.

12053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

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

The square root of 12053120 is about 3471.7603603936. The cubic root of 12053120 is about 229.2801691559.

Adding to 12053120 its reverse (2135021), we get a palindrome (14188141).

The spelling of 12053120 in words is "twelve million, fifty-three thousand, one hundred twenty".