12334210314000 has 320 divisors, whose sum is σ = 40080854661120. Its totient is φ = 3263073369600.

The previous prime is 12334210313987. The next prime is 12334210314071. The reversal of 12334210314000 is 41301243321.

It is a happy number.

12334210314000 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1340233399 + ... + 1340242601.

It is an arithmetic number, because the mean of its divisors is an integer number (125252670816).

Almost surely, 2^{12334210314000} is an apocalyptic number.

12334210314000 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 12334210314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20040427330560).

12334210314000 is an abundant number, since it is smaller than the sum of its proper divisors (27746644347120).

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

12334210314000 is a wasteful number, since it uses less digits than its factorization.

12334210314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10975 (or 10959 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12334210314000 its reverse (41301243321), we get a palindrome (12375511557321).

The spelling of 12334210314000 in words is "twelve trillion, three hundred thirty-four billion, two hundred ten million, three hundred fourteen thousand".