12141254214000 has 640 divisors, whose sum is σ = 45426706790400. Its totient is φ = 3093962572800.

The previous prime is 12141254213989. The next prime is 12141254214007. The reversal of 12141254214000 is 41245214121.

12141254214000 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 254 + 2 + 1 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141254214007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1506541971 + ... + 1506550029.

It is an arithmetic number, because the mean of its divisors is an integer number (70979229360).

Almost surely, 2^{12141254214000} is an apocalyptic number.

12141254214000 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 12141254214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22713353395200).

12141254214000 is an abundant number, since it is smaller than the sum of its proper divisors (33285452576400).

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

12141254214000 is a wasteful number, since it uses less digits than its factorization.

12141254214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9305 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 12141254214000 its reverse (41245214121), we get a palindrome (12182499428121).

The spelling of 12141254214000 in words is "twelve trillion, one hundred forty-one billion, two hundred fifty-four million, two hundred fourteen thousand".