12986334270 has 576 divisors, whose sum is σ = 44770864320. Its totient is φ = 2584866816.

The previous prime is 12986334233. The next prime is 12986334271. The reversal of 12986334270 is 7243368921.

12986334270 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 633 + 4 + 2 + 7 + 0 = 666.

12986334270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12986334271) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 121367557 + ... + 121367663.

It is an arithmetic number, because the mean of its divisors is an integer number (77727195).

Almost surely, 2^12986334270 is an apocalyptic number.

12986334270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12986334270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385432160).

12986334270 is an abundant number, since it is smaller than the sum of its proper divisors (31784530050).

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

12986334270 is a wasteful number, since it uses less digits than its factorization.

12986334270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12986334270 in words is "twelve billion, nine hundred eighty-six million, three hundred thirty-four thousand, two hundred seventy".