12006617980 has 72 divisors (see below), whose sum is σ = 29660223600. Its totient is φ = 4070271744.

The previous prime is 12006617977. The next prime is 12006617989. The reversal of 12006617980 is 8971660021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006617989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18391 + ... + 156049.

It is an arithmetic number, because the mean of its divisors is an integer number (411947550).

Almost surely, 2^12006617980 is an apocalyptic number.

12006617980 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 12006617980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830111800).

12006617980 is an abundant number, since it is smaller than the sum of its proper divisors (17653605620).

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

12006617980 is a wasteful number, since it uses less digits than its factorization.

12006617980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137771 (or 137762 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 12006617980 in words is "twelve billion, six million, six hundred seventeen thousand, nine hundred eighty".