12102042414120 has 256 divisors, whose sum is σ = 37605630585600. Its totient is φ = 3113684582400.

The previous prime is 12102042414083. The next prime is 12102042414191. The reversal of 12102042414120 is 2141424020121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225635466 + ... + 225689094.

It is an arithmetic number, because the mean of its divisors is an integer number (146896994475).

Almost surely, 2^{12102042414120} is an apocalyptic number.

12102042414120 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 12102042414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18802815292800).

12102042414120 is an abundant number, since it is smaller than the sum of its proper divisors (25503588171480).

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

12102042414120 is a wasteful number, since it uses less digits than its factorization.

12102042414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54220 (or 54216 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12102042414120 its reverse (2141424020121), we get a palindrome (14243466434241).

The spelling of 12102042414120 in words is "twelve trillion, one hundred two billion, forty-two million, four hundred fourteen thousand, one hundred twenty".