12134046887352 has 240 divisors, whose sum is σ = 37405354151880. Its totient is φ = 3672345081600.

The previous prime is 12134046887297. The next prime is 12134046887381. The reversal of 12134046887352 is 25378864043121.

12134046887352 is a `hidden beast` number, since 1 + 2 + 13 + 40 + 468 + 87 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5772027 + ... + 7588437.

Almost surely, 2^{12134046887352} is an apocalyptic number.

12134046887352 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 12134046887352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18702677075940).

12134046887352 is an abundant number, since it is smaller than the sum of its proper divisors (25271307264528).

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

12134046887352 is a wasteful number, since it uses less digits than its factorization.

12134046887352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816516 (or 1816490 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 12134046887352 in words is "twelve trillion, one hundred thirty-four billion, forty-six million, eight hundred eighty-seven thousand, three hundred fifty-two".