12006000540 has 144 divisors (see below), whose sum is σ = 38393671680. Its totient is φ = 3032334720.

The previous prime is 12006000533. The next prime is 12006000563. The reversal of 12006000540 is 4500060021.

It is a happy number.

12006000540 is a `hidden beast` number, since 1 + 20 + 0 + 600 + 0 + 5 + 40 = 666.

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

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, 239371 + ... + 285149.

It is an arithmetic number, because the mean of its divisors is an integer number (266622720).

Almost surely, 2^12006000540 is an apocalyptic number.

12006000540 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 12006000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19196835840).

12006000540 is an abundant number, since it is smaller than the sum of its proper divisors (26387671140).

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

12006000540 is a wasteful number, since it uses less digits than its factorization.

12006000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45872 (or 45867 counting only the distinct ones).

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

Adding to 12006000540 its reverse (4500060021), we get a palindrome (16506060561).

The spelling of 12006000540 in words is "twelve billion, six million, five hundred forty", and thus it is an aban number.