12004242214314 has 192 divisors, whose sum is σ = 29933420313600. Its totient is φ = 3190242972672.

The previous prime is 12004242214301. The next prime is 12004242214343. The reversal of 12004242214314 is 41341224240021.

It is a super-2 number, since 2×12004242214314² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271217274 + ... + 271261530.

It is an arithmetic number, because the mean of its divisors is an integer number (155903230800).

Almost surely, 2^{12004242214314} is an apocalyptic number.

12004242214314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004242214314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966710156800).

12004242214314 is an abundant number, since it is smaller than the sum of its proper divisors (17929178099286).

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

12004242214314 is a wasteful number, since it uses less digits than its factorization.

12004242214314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45177 (or 45170 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12004242214314 its reverse (41341224240021), we get a palindrome (53345466454335).

The spelling of 12004242214314 in words is "twelve trillion, four billion, two hundred forty-two million, two hundred fourteen thousand, three hundred fourteen".