12105058065408 has 1408 divisors, whose sum is σ = 47408126976000. Its totient is φ = 2955885281280.

The previous prime is 12105058065383. The next prime is 12105058065409. The reversal of 12105058065408 is 80456085050121.

12105058065408 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 5 + 0 + 580 + 65 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105058065409) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5622413260 + ... + 5622415412.

Almost surely, 2^{12105058065408} is an apocalyptic number.

12105058065408 is a gapful number since it is divisible by the number (18) 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 12105058065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23704063488000).

12105058065408 is an abundant number, since it is smaller than the sum of its proper divisors (35303068910592).

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

12105058065408 is a wasteful number, since it uses less digits than its factorization.

12105058065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 12105058065408 in words is "twelve trillion, one hundred five billion, fifty-eight million, sixty-five thousand, four hundred eight".