12093120 has 336 divisors, whose sum is σ = 49926240. Its totient is φ = 2654208.

The previous prime is 12093119. The next prime is 12093149. The reversal of 12093120 is 2139021.

It is a happy number.

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 = 12093093 and 12093102.

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, 636471 + ... + 636489.

It is an arithmetic number, because the mean of its divisors is an integer number (148590).

Almost surely, 2^12093120 is an apocalyptic number.

12093120 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 12093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963120).

12093120 is an abundant number, since it is smaller than the sum of its proper divisors (37833120).

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

12093120 is a wasteful number, since it uses less digits than its factorization.

12093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12093120 is about 3477.5163551017. The cubic root of 12093120 is about 229.5335220944.

The spelling of 12093120 in words is "twelve million, ninety-three thousand, one hundred twenty".