12134638029888 has 1344 divisors, whose sum is σ = 41990231162880. Its totient is φ = 3440189491200.

The previous prime is 12134638029863. The next prime is 12134638029947. The reversal of 12134638029888 is 88892083643121.

12134638029888 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 463 + 8 + 0 + 2 + 98 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28960949743 + ... + 28960950161.

It is an arithmetic number, because the mean of its divisors is an integer number (31242731520).

Almost surely, 2^{12134638029888} is an apocalyptic number.

12134638029888 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 12134638029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20995115581440).

12134638029888 is an abundant number, since it is smaller than the sum of its proper divisors (29855593132992).

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

12134638029888 is a wasteful number, since it uses less digits than its factorization.

12134638029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 12134638029888 in words is "twelve trillion, one hundred thirty-four billion, six hundred thirty-eight million, twenty-nine thousand, eight hundred eighty-eight".