12240333104130 has 192 divisors, whose sum is σ = 32574995811072. Its totient is φ = 3187741340160.

The previous prime is 12240333104099. The next prime is 12240333104149. The reversal of 12240333104130 is 3140133304221.

It is a happy number.

12240333104130 is a `hidden beast` number, since 1 + 2 + 240 + 3 + 3 + 3 + 1 + 0 + 413 + 0 = 666.

It is a super-2 number, since 2×12240333104130² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12240333104094 and 12240333104103.

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 95 ways as a sum of consecutive naturals, for example, 1920651624 + ... + 1920657996.

It is an arithmetic number, because the mean of its divisors is an integer number (169661436516).

Almost surely, 2^{12240333104130} is an apocalyptic number.

12240333104130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12240333104130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287497905536).

12240333104130 is an abundant number, since it is smaller than the sum of its proper divisors (20334662706942).

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

12240333104130 is a wasteful number, since it uses less digits than its factorization.

12240333104130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8230 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12240333104130 its reverse (3140133304221), we get a palindrome (15380466408351).

The spelling of 12240333104130 in words is "twelve trillion, two hundred forty billion, three hundred thirty-three million, one hundred four thousand, one hundred thirty".