12085920 has 288 divisors, whose sum is σ = 51891840. Its totient is φ = 2488320.

The previous prime is 12085903. The next prime is 12085979. The reversal of 12085920 is 2958021.

It is a tau number, because it is divible by the number of its divisors (288).

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, 110826 + ... + 110934.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 2^12085920 is an apocalyptic number.

12085920 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 12085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25945920).

12085920 is an abundant number, since it is smaller than the sum of its proper divisors (39805920).

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

12085920 is a wasteful number, since it uses less digits than its factorization.

12085920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12085920 is about 3476.4809793813. The cubic root of 12085920 is about 229.4879598394.

The spelling of 12085920 in words is "twelve million, eighty-five thousand, nine hundred twenty".