12906786060 has 288 divisors, whose sum is σ = 46020304512. Its totient is φ = 2866544640.

The previous prime is 12906786041. The next prime is 12906786091. The reversal of 12906786060 is 6068760921.

It is a super-2 number, since 2×12906786060² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12906785997 and 12906786015.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22368492 + ... + 22369068.

It is an arithmetic number, because the mean of its divisors is an integer number (159792724).

Almost surely, 2^12906786060 is an apocalyptic number.

12906786060 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 12906786060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23010152256).

12906786060 is an abundant number, since it is smaller than the sum of its proper divisors (33113518452).

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

12906786060 is a wasteful number, since it uses less digits than its factorization.

12906786060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12906786060 in words is "twelve billion, nine hundred six million, seven hundred eighty-six thousand, sixty".