12042960 has 120 divisors (see below), whose sum is σ = 39684960. Its totient is φ = 3020544.

The previous prime is 12042931. The next prime is 12042983. The reversal of 12042960 is 6924021.

12042960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12042960.

It is a congruent number.

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, 86571 + ... + 86709.

It is an arithmetic number, because the mean of its divisors is an integer number (330708).

Almost surely, 2^12042960 is an apocalyptic number.

12042960 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 12042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19842480).

12042960 is an abundant number, since it is smaller than the sum of its proper divisors (27642000).

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

12042960 is a wasteful number, since it uses less digits than its factorization.

12042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12042960 is about 3470.2968172766. The cubic root of 12042960 is about 229.2157282653.

Adding to 12042960 its reverse (6924021), we get a palindrome (18966981).

The spelling of 12042960 in words is "twelve million, forty-two thousand, nine hundred sixty".