12706077384 has 768 divisors, whose sum is σ = 49111695360. Its totient is φ = 2885414400.

The previous prime is 12706077383. The next prime is 12706077401. The reversal of 12706077384 is 48377060721.

12706077384 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 607 + 7 + 38 + 4 = 666.

It is a super-2 number, since 2×12706077384² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12706077383) 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 191 ways as a sum of consecutive naturals, for example, 270342049 + ... + 270342095.

It is an arithmetic number, because the mean of its divisors is an integer number (63947520).

Almost surely, 2^12706077384 is an apocalyptic number.

12706077384 is a gapful number since it is divisible by the number (14) 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 12706077384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555847680).

12706077384 is an abundant number, since it is smaller than the sum of its proper divisors (36405617976).

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

12706077384 is a wasteful number, since it uses less digits than its factorization.

12706077384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 12706077384 in words is "twelve billion, seven hundred six million, seventy-seven thousand, three hundred eighty-four".