12705361920 has 728 divisors, whose sum is σ = 48989519136. Its totient is φ = 3153199104.

The previous prime is 12705361913. The next prime is 12705361939. The reversal of 12705361920 is 2916350721.

12705361920 is a `hidden beast` number, since 1 + 270 + 5 + 361 + 9 + 20 = 666.

It is a super-2 number, since 2×12705361920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 343388142 + ... + 343388178.

Almost surely, 2^12705361920 is an apocalyptic number.

12705361920 is a gapful number since it is divisible by the number (10) 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 12705361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494759568).

12705361920 is an abundant number, since it is smaller than the sum of its proper divisors (36284157216).

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

12705361920 is an frugal number, since it uses more digits than its factorization.

12705361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12705361920 in words is "twelve billion, seven hundred five million, three hundred sixty-one thousand, nine hundred twenty".