12006637776 has 720 divisors, whose sum is σ = 44457154560. Its totient is φ = 3115687680.

The previous prime is 12006637763. The next prime is 12006637789. The reversal of 12006637776 is 67773660021.

12006637776 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 6 + 637 + 7 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12006637763) and next prime (12006637789).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112211515 + ... + 112211621.

It is an arithmetic number, because the mean of its divisors is an integer number (61746048).

Almost surely, 2^12006637776 is an apocalyptic number.

12006637776 is a gapful number since it is divisible by the number (16) 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 12006637776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228577280).

12006637776 is an abundant number, since it is smaller than the sum of its proper divisors (32450516784).

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

12006637776 is a wasteful number, since it uses less digits than its factorization.

12006637776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 12006637776 in words is "twelve billion, six million, six hundred thirty-seven thousand, seven hundred seventy-six".