12026817301104 has 240 divisors, whose sum is σ = 35993623760640. Its totient is φ = 3739528995840.

The previous prime is 12026817301049. The next prime is 12026817301129. The reversal of 12026817301104 is 40110371862021.

12026817301104 is a `hidden beast` number, since 120 + 268 + 173 + 0 + 1 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 344758447 + ... + 344793329.

It is an arithmetic number, because the mean of its divisors is an integer number (149973432336).

Almost surely, 2^{12026817301104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12026817301104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996811880320).

12026817301104 is an abundant number, since it is smaller than the sum of its proper divisors (23966806459536).

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

12026817301104 is a wasteful number, since it uses less digits than its factorization.

12026817301104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37500 (or 37491 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12026817301104 in words is "twelve trillion, twenty-six billion, eight hundred seventeen million, three hundred one thousand, one hundred four".