12141243681504 has 288 divisors, whose sum is σ = 38897502400512. Its totient is φ = 3301990272000.

The previous prime is 12141243681431. The next prime is 12141243681509. The reversal of 12141243681504 is 40518634214121.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141243681509) 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, 8212809 + ... + 9577719.

It is an arithmetic number, because the mean of its divisors is an integer number (135060772224).

Almost surely, 2^{12141243681504} is an apocalyptic number.

12141243681504 is a gapful number since it is divisible by the number (14) 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 12141243681504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448751200256).

12141243681504 is an abundant number, since it is smaller than the sum of its proper divisors (26756258719008).

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

12141243681504 is a wasteful number, since it uses less digits than its factorization.

12141243681504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365030 (or 1365015 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

Adding to 12141243681504 its reverse (40518634214121), we get a palindrome (52659877895625).

The spelling of 12141243681504 in words is "twelve trillion, one hundred forty-one billion, two hundred forty-three million, six hundred eighty-one thousand, five hundred four".