12009892160 has 336 divisors, whose sum is σ = 34647128064. Its totient is φ = 3950456832.

The previous prime is 12009892127. The next prime is 12009892189. The reversal of 12009892160 is 6129890021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73680239 + ... + 73680401.

Almost surely, 2^12009892160 is an apocalyptic number.

12009892160 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 12009892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323564032).

12009892160 is an abundant number, since it is smaller than the sum of its proper divisors (22637235904).

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

12009892160 is a wasteful number, since it uses less digits than its factorization.

12009892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The spelling of 12009892160 in words is "twelve billion, nine million, eight hundred ninety-two thousand, one hundred sixty".