12084033105144 has 1024 divisors, whose sum is σ = 47542118400000. Its totient is φ = 2738916218880.

The previous prime is 12084033105091. The next prime is 12084033105161. The reversal of 12084033105144 is 44150133048021.

12084033105144 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 403 + 3 + 105 + 144 = 666.

It is a super-3 number, since 3×12084033105144³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 12084033105099 and 12084033105108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2091022047 + ... + 2091027825.

It is an arithmetic number, because the mean of its divisors is an integer number (46427850000).

Almost surely, 2^{12084033105144} is an apocalyptic number.

12084033105144 is a gapful number since it is divisible by the number (14) 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 12084033105144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23771059200000).

12084033105144 is an abundant number, since it is smaller than the sum of its proper divisors (35458085294856).

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

12084033105144 is a wasteful number, since it uses less digits than its factorization.

12084033105144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12084033105144 in words is "twelve trillion, eighty-four billion, thirty-three million, one hundred five thousand, one hundred forty-four".