12005353000340 has 192 divisors, whose sum is σ = 30238259724288. Its totient is φ = 3914598758400.

The previous prime is 12005353000337. The next prime is 12005353000373. The reversal of 12005353000340 is 4300035350021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 502072985 + ... + 502096895.

It is an arithmetic number, because the mean of its divisors is an integer number (157490936064).

Almost surely, 2^{12005353000340} is an apocalyptic number.

12005353000340 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 12005353000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119129862144).

12005353000340 is an abundant number, since it is smaller than the sum of its proper divisors (18232906723948).

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

12005353000340 is a wasteful number, since it uses less digits than its factorization.

12005353000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24838 (or 24836 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

Adding to 12005353000340 its reverse (4300035350021), we get a palindrome (16305388350361).

The spelling of 12005353000340 in words is "twelve trillion, five billion, three hundred fifty-three million, three hundred forty", and thus it is an aban number.