12026561100345 has 216 divisors, whose sum is σ = 23549238644568. Its totient is φ = 5673507840000.

The previous prime is 12026561100331. The next prime is 12026561100347. The reversal of 12026561100345 is 54300116562021.

12026561100345 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 6 + 5 + 611 + 0 + 0 + 34 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11574073480761 + 452487619584 = 3402069^2 + 672672^2 .

It is not a de Polignac number, because 12026561100345 - 2⁴ = 12026561100329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12026561100347) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3853430385 + ... + 3853433505.

Almost surely, 2^{12026561100345} is an apocalyptic number.

12026561100345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12026561100345 is a deficient number, since it is larger than the sum of its proper divisors (11522677544223).

12026561100345 is a wasteful number, since it uses less digits than its factorization.

12026561100345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 12026561100345 its reverse (54300116562021), we get a palindrome (66326677662366).

The spelling of 12026561100345 in words is "twelve trillion, twenty-six billion, five hundred sixty-one million, one hundred thousand, three hundred forty-five".