12114411403120 has 320 divisors, whose sum is σ = 31230305132544. Its totient is φ = 4343054929920.

The previous prime is 12114411403111. The next prime is 12114411403181. The reversal of 12114411403120 is 2130411441121.

It is a super-3 number, since 3×12114411403120³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 1366847809 + ... + 1366856671.

Almost surely, 2^{12114411403120} is an apocalyptic number.

12114411403120 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 12114411403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615152566272).

12114411403120 is an abundant number, since it is smaller than the sum of its proper divisors (19115893729424).

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

12114411403120 is a wasteful number, since it uses less digits than its factorization.

12114411403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 12114411403120 its reverse (2130411441121), we get a palindrome (14244822844241).

The spelling of 12114411403120 in words is "twelve trillion, one hundred fourteen billion, four hundred eleven million, four hundred three thousand, one hundred twenty".