12133004214114 has 96 divisors (see below), whose sum is σ = 31817191101696. Its totient is φ = 3262011540480.

The previous prime is 12133004214113. The next prime is 12133004214127. The reversal of 12133004214114 is 41141240033121.

It is a happy number.

12133004214114 is a `hidden beast` number, since 1 + 2 + 1 + 330 + 0 + 4 + 214 + 114 = 666.

It is not an unprimeable number, because it can be changed into a prime (12133004214113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10326099 + ... + 11440905.

It is an arithmetic number, because the mean of its divisors is an integer number (331429073976).

Almost surely, 2^{12133004214114} is an apocalyptic number.

12133004214114 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 12133004214114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15908595550848).

12133004214114 is an abundant number, since it is smaller than the sum of its proper divisors (19684186887582).

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

12133004214114 is a wasteful number, since it uses less digits than its factorization.

12133004214114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119920 (or 1119917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12133004214114 its reverse (41141240033121), we get a palindrome (53274244247235).

The spelling of 12133004214114 in words is "twelve trillion, one hundred thirty-three billion, four million, two hundred fourteen thousand, one hundred fourteen".