12709610112 has 384 divisors, whose sum is σ = 38581704000. Its totient is φ = 3693330432.

The previous prime is 12709610107. The next prime is 12709610117. The reversal of 12709610112 is 21101690721.

It is an interprime number because it is at equal distance from previous prime (12709610107) and next prime (12709610117).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12709610112.

It is not an unprimeable number, because it can be changed into a prime (12709610117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142804564 + ... + 142804652.

Almost surely, 2^12709610112 is an apocalyptic number.

12709610112 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 12709610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290852000).

12709610112 is an abundant number, since it is smaller than the sum of its proper divisors (25872093888).

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

12709610112 is a wasteful number, since it uses less digits than its factorization.

12709610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 12709610112 in words is "twelve billion, seven hundred nine million, six hundred ten thousand, one hundred twelve".