12264120 has 192 divisors, whose sum is σ = 46051200. Its totient is φ = 2799360.

The previous prime is 12264113. The next prime is 12264137. The reversal of 12264120 is 2146221.

12264120 is a `hidden beast` number, since 1 + 2 + 2 + 641 + 20 = 666.

12264120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12264093 and 12264102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75159 + ... + 75321.

It is an arithmetic number, because the mean of its divisors is an integer number (239850).

Almost surely, 2^12264120 is an apocalyptic number.

12264120 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 12264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23025600).

12264120 is an abundant number, since it is smaller than the sum of its proper divisors (33787080).

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

12264120 is a wasteful number, since it uses less digits than its factorization.

12264120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12264120 is about 3502.0165619254. The cubic root of 12264120 is about 230.6103511527.

The spelling of 12264120 in words is "twelve million, two hundred sixty-four thousand, one hundred twenty".