12009142080 has 448 divisors, whose sum is σ = 47109888000. Its totient is φ = 2859909120.

The previous prime is 12009142043. The next prime is 12009142087. The reversal of 12009142080 is 8024190021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12009142087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3480196 + ... + 3483644.

It is an arithmetic number, because the mean of its divisors is an integer number (105156000).

Almost surely, 2^12009142080 is an apocalyptic number.

12009142080 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 12009142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554944000).

12009142080 is an abundant number, since it is smaller than the sum of its proper divisors (35100745920).

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

12009142080 is a wasteful number, since it uses less digits than its factorization.

12009142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12009142080 in words is "twelve billion, nine million, one hundred forty-two thousand, eighty".