12105960 has 64 divisors (see below), whose sum is σ = 36806400. Its totient is φ = 3184896.

The previous prime is 12105941. The next prime is 12105979. The reversal of 12105960 is 6950121.

12105960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12105941) and next prime (12105979).

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 12105960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8842 + ... + 10118.

It is an arithmetic number, because the mean of its divisors is an integer number (575100).

Almost surely, 2^12105960 is an apocalyptic number.

12105960 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 12105960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18403200).

12105960 is an abundant number, since it is smaller than the sum of its proper divisors (24700440).

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

12105960 is a wasteful number, since it uses less digits than its factorization.

12105960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 12105960 is about 3479.3620104841. The cubic root of 12105960 is about 229.6147299206.

The spelling of 12105960 in words is "twelve million, one hundred five thousand, nine hundred sixty".