12606625512 has 160 divisors (see below), whose sum is σ = 38651354280. Its totient is φ = 3815216640.

The previous prime is 12606625501. The next prime is 12606625517. The reversal of 12606625512 is 21552660621.

12606625512 is a `hidden beast` number, since 1 + 2 + 60 + 66 + 25 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1529904996 + 11076720516 = 39114^2 + 105246^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12606625517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 501598 + ... + 526130.

Almost surely, 2^12606625512 is an apocalyptic number.

12606625512 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 12606625512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19325677140).

12606625512 is an abundant number, since it is smaller than the sum of its proper divisors (26044728768).

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

12606625512 is a wasteful number, since it uses less digits than its factorization.

12606625512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24625 (or 24612 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12606625512 in words is "twelve billion, six hundred six million, six hundred twenty-five thousand, five hundred twelve".