12026133504000 has 3360 divisors, whose sum is σ = 57111460417440. Its totient is φ = 2489647104000.

The previous prime is 12026133503999. The next prime is 12026133504017. The reversal of 12026133504000 is 40533162021.

12026133504000 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 613 + 3 + 5 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44706815866 + ... + 44706816134.

Almost surely, 2^{12026133504000} is an apocalyptic number.

12026133504000 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 12026133504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28555730208720).

12026133504000 is an abundant number, since it is smaller than the sum of its proper divisors (45085326913440).

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

12026133504000 is an equidigital number, since it uses as much as digits as its factorization.

12026133504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12026133504000 its reverse (40533162021), we get a palindrome (12066666666021).

The spelling of 12026133504000 in words is "twelve trillion, twenty-six billion, one hundred thirty-three million, five hundred four thousand".