12006734976 has 432 divisors, whose sum is σ = 39343235490. Its totient is φ = 3636928512.

The previous prime is 12006734969. The next prime is 12006734977. The reversal of 12006734976 is 67943760021.

It can be written as a sum of positive squares in 3 ways, for example, as 11431886400 + 574848576 = 106920^2 + 23976^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006734977) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 414025330 + ... + 414025358.

Almost surely, 2^12006734976 is an apocalyptic number.

12006734976 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 12006734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19671617745).

12006734976 is an abundant number, since it is smaller than the sum of its proper divisors (27336500514).

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

12006734976 is an frugal number, since it uses more digits than its factorization.

12006734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 12006734976 in words is "twelve billion, six million, seven hundred thirty-four thousand, nine hundred seventy-six".