12134057050512 has 120 divisors (see below), whose sum is σ = 34213115700608. Its totient is φ = 4014406656000.

The previous prime is 12134057050441. The next prime is 12134057050519. The reversal of 12134057050512 is 21505075043121.

12134057050512 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 40 + 57 + 0 + 50 + 512 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12134057050519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24828837 + ... + 25312827.

Almost surely, 2^{12134057050512} is an apocalyptic number.

12134057050512 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 12134057050512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106557850304).

12134057050512 is an abundant number, since it is smaller than the sum of its proper divisors (22079058650096).

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

12134057050512 is a wasteful number, since it uses less digits than its factorization.

12134057050512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485309 (or 485300 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 12134057050512 in words is "twelve trillion, one hundred thirty-four billion, fifty-seven million, fifty thousand, five hundred twelve".