12034334334000 has 640 divisors, whose sum is σ = 44340162048000. Its totient is φ = 2781123072000.

The previous prime is 12034334333947. The next prime is 12034334334017. The reversal of 12034334334000 is 43343343021.

12034334334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 151166206 + ... + 151245794.

It is an arithmetic number, because the mean of its divisors is an integer number (69281503200).

Almost surely, 2^{12034334334000} is an apocalyptic number.

12034334334000 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 12034334334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22170081024000).

12034334334000 is an abundant number, since it is smaller than the sum of its proper divisors (32305827714000).

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

12034334334000 is a wasteful number, since it uses less digits than its factorization.

12034334334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79734 (or 79718 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 12034334334000 its reverse (43343343021), we get a palindrome (12077677677021).

The spelling of 12034334334000 in words is "twelve trillion, thirty-four billion, three hundred thirty-four million, three hundred thirty-four thousand".