12341135253051 has 288 divisors, whose sum is σ = 20653694530560. Its totient is φ = 7091219520000.

The previous prime is 12341135252977. The next prime is 12341135253059. The reversal of 12341135253051 is 15035253114321.

It is a happy number.

12341135253051 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 113 + 5 + 2 + 530 + 5 + 1 = 666.

It is not a de Polignac number, because 12341135253051 - 2¹⁰ = 12341135252027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12341135252997 and 12341135253015.

It is not an unprimeable number, because it can be changed into a prime (12341135253059) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 53891420205 + ... + 53891420433.

It is an arithmetic number, because the mean of its divisors is an integer number (71714217120).

Almost surely, 2^{12341135253051} is an apocalyptic number.

12341135253051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12341135253051 is a deficient number, since it is larger than the sum of its proper divisors (8312559277509).

12341135253051 is a wasteful number, since it uses less digits than its factorization.

12341135253051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 12341135253051 its reverse (15035253114321), we get a palindrome (27376388367372).

The spelling of 12341135253051 in words is "twelve trillion, three hundred forty-one billion, one hundred thirty-five million, two hundred fifty-three thousand, fifty-one".