12065040 has 120 divisors (see below), whose sum is σ = 43669080. Its totient is φ = 2967552.

The previous prime is 12065033. The next prime is 12065063. The reversal of 12065040 is 4056021.

It is a happy number.

12065040 is a `hidden beast` number, since 12 + 0 + 650 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 11048976 = 1008^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8716 + ... + 10004.

It is an arithmetic number, because the mean of its divisors is an integer number (363909).

Almost surely, 2^12065040 is an apocalyptic number.

12065040 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 12065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21834540).

12065040 is an abundant number, since it is smaller than the sum of its proper divisors (31604040).

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

12065040 is a wasteful number, since it uses less digits than its factorization.

12065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12065040 is about 3473.4766445163. The cubic root of 12065040 is about 229.3557268861.

The spelling of 12065040 in words is "twelve million, sixty-five thousand, forty".