12600077472 has 240 divisors, whose sum is σ = 38498955264. Its totient is φ = 4038336000.

The previous prime is 12600077443. The next prime is 12600077489. The reversal of 12600077472 is 27477000621.

It is a happy number.

12600077472 is a `hidden beast` number, since 1 + 2 + 600 + 0 + 7 + 7 + 47 + 2 = 666.

12600077472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15346822 + ... + 15347642.

Almost surely, 2^12600077472 is an apocalyptic number.

12600077472 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 12600077472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19249477632).

12600077472 is an abundant number, since it is smaller than the sum of its proper divisors (25898877792).

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

12600077472 is a wasteful number, since it uses less digits than its factorization.

12600077472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 12600077472 in words is "twelve billion, six hundred million, seventy-seven thousand, four hundred seventy-two".