12034210311440 has 480 divisors, whose sum is σ = 31327864888320. Its totient is φ = 4287949940736.

The previous prime is 12034210311391. The next prime is 12034210311491. The reversal of 12034210311440 is 4411301243021.

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 95 ways as a sum of consecutive naturals, for example, 5522812271 + ... + 5522814449.

It is an arithmetic number, because the mean of its divisors is an integer number (65266385184).

Almost surely, 2^{12034210311440} is an apocalyptic number.

12034210311440 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 12034210311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663932444160).

12034210311440 is an abundant number, since it is smaller than the sum of its proper divisors (19293654576880).

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

12034210311440 is a wasteful number, since it uses less digits than its factorization.

12034210311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12034210311440 its reverse (4411301243021), we get a palindrome (16445511554461).

The spelling of 12034210311440 in words is "twelve trillion, thirty-four billion, two hundred ten million, three hundred eleven thousand, four hundred forty".