12385120 has 96 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 4339200.

The previous prime is 12385081. The next prime is 12385159. The reversal of 12385120 is 2158321.

It is an interprime number because it is at equal distance from previous prime (12385081) and next prime (12385159).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12385091 and 12385100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54447 + ... + 54673.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 2^12385120 is an apocalyptic number.

12385120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12385120 is the 1760-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

12385120 is an abundant number, since it is smaller than the sum of its proper divisors (20709536).

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

12385120 is a wasteful number, since it uses less digits than its factorization.

12385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12385120 is about 3519.2499200824. The cubic root of 12385120 is about 231.3662848323.

The spelling of 12385120 in words is "twelve million, three hundred eighty-five thousand, one hundred twenty".