12393120 has 48 divisors (see below), whose sum is σ = 39039840. Its totient is φ = 3304704.

The previous prime is 12393103. The next prime is 12393131. The reversal of 12393120 is 2139321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12430 + ... + 13389.

It is an arithmetic number, because the mean of its divisors is an integer number (813330).

Almost surely, 2^12393120 is an apocalyptic number.

12393120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12393120 is an abundant number, since it is smaller than the sum of its proper divisors (26646720).

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

12393120 is a wasteful number, since it uses less digits than its factorization.

12393120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25837 (or 25829 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12393120 is about 3520.3863424346. The cubic root of 12393120 is about 231.4160900796.

The spelling of 12393120 in words is "twelve million, three hundred ninety-three thousand, one hundred twenty".