12005834960 has 120 divisors (see below), whose sum is σ = 32508149256. Its totient is φ = 4111564800.

The previous prime is 12005834921. The next prime is 12005834977. The reversal of 12005834960 is 6943850021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7345861264 + 4659973696 = 85708^2 + 68264^2 .

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, 6274964 + ... + 6276876.

Almost surely, 2^12005834960 is an apocalyptic number.

12005834960 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 12005834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254074628).

12005834960 is an abundant number, since it is smaller than the sum of its proper divisors (20502314296).

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

12005834960 is a wasteful number, since it uses less digits than its factorization.

12005834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 12005834960 in words is "twelve billion, five million, eight hundred thirty-four thousand, nine hundred sixty".