12134711938752 has 672 divisors, whose sum is σ = 40517040957120. Its totient is φ = 3440172072960.

The previous prime is 12134711938717. The next prime is 12134711938757. The reversal of 12134711938752 is 25783911743121.

12134711938752 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 471 + 1 + 93 + 87 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12134711938757) 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 95 ways as a sum of consecutive naturals, for example, 1965769138 + ... + 1965775310.

It is an arithmetic number, because the mean of its divisors is an integer number (60293215710).

Almost surely, 2^{12134711938752} is an apocalyptic number.

12134711938752 is a gapful number since it is divisible by the number (12) 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 12134711938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258520478560).

12134711938752 is an abundant number, since it is smaller than the sum of its proper divisors (28382329018368).

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

12134711938752 is a wasteful number, since it uses less digits than its factorization.

12134711938752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6588 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 12134711938752 in words is "twelve trillion, one hundred thirty-four billion, seven hundred eleven million, nine hundred thirty-eight thousand, seven hundred fifty-two".