12364120 has 32 divisors (see below), whose sum is σ = 28098720. Its totient is φ = 4896000.

The previous prime is 12364111. The next prime is 12364123. The reversal of 12364120 is 2146321.

12364120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12364123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2620 + ... + 5620.

It is an arithmetic number, because the mean of its divisors is an integer number (878085).

Almost surely, 2^12364120 is an apocalyptic number.

12364120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12364120 is an abundant number, since it is smaller than the sum of its proper divisors (15734600).

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

12364120 is a wasteful number, since it uses less digits than its factorization.

12364120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12364120 is about 3516.2650639564. The cubic root of 12364120 is about 231.2354439340.

It can be divided in two parts, 1236 and 4120, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 12364120 in words is "twelve million, three hundred sixty-four thousand, one hundred twenty".