12705699312 has 160 divisors (see below), whose sum is σ = 36990886400. Its totient is φ = 4175152128.

The previous prime is 12705699311. The next prime is 12705699313. The reversal of 12705699312 is 21399650721.

It is a happy number.

12705699312 is a `hidden beast` number, since 1 + 2 + 70 + 569 + 9 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (12705699311) and next prime (12705699313).

It is a super-2 number, since 2×12705699312² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12705699311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12591864 + ... + 12592872.

It is an arithmetic number, because the mean of its divisors is an integer number (231193040).

Almost surely, 2^12705699312 is an apocalyptic number.

12705699312 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 12705699312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495443200).

12705699312 is an abundant number, since it is smaller than the sum of its proper divisors (24285187088).

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

12705699312 is a wasteful number, since it uses less digits than its factorization.

12705699312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 12705699312 in words is "twelve billion, seven hundred five million, six hundred ninety-nine thousand, three hundred twelve".