12086667072 has 560 divisors, whose sum is σ = 40627889280. Its totient is φ = 3532750848.

The previous prime is 12086667059. The next prime is 12086667077. The reversal of 12086667072 is 27076668021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12086667077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135805204 + ... + 135805292.

Almost surely, 2^12086667072 is an apocalyptic number.

12086667072 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 12086667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20313944640).

12086667072 is an abundant number, since it is smaller than the sum of its proper divisors (28541222208).

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

12086667072 is a wasteful number, since it uses less digits than its factorization.

12086667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12086667072 in words is "twelve billion, eighty-six million, six hundred sixty-seven thousand, seventy-two".