11700134712 has 192 divisors, whose sum is σ = 36995961600. Its totient is φ = 3271311360.

The previous prime is 11700134701. The next prime is 11700134741. The reversal of 11700134712 is 21743100711.

11700134712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7641387 + ... + 7642917.

It is an arithmetic number, because the mean of its divisors is an integer number (192687300).

Almost surely, 2^11700134712 is an apocalyptic number.

11700134712 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 11700134712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497980800).

11700134712 is an abundant number, since it is smaller than the sum of its proper divisors (25295826888).

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

11700134712 is a wasteful number, since it uses less digits than its factorization.

11700134712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 11700134712 in words is "eleven billion, seven hundred million, one hundred thirty-four thousand, seven hundred twelve".