12084000292 has 96 divisors (see below), whose sum is σ = 26452912640. Its totient is φ = 4702924800.

The previous prime is 12084000289. The next prime is 12084000293. The reversal of 12084000292 is 29200048021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12084000292.

It is not an unprimeable number, because it can be changed into a prime (12084000293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5990068 + ... + 5992084.

Almost surely, 2^12084000292 is an apocalyptic number.

12084000292 is the 54964-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084000292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226456320).

12084000292 is an abundant number, since it is smaller than the sum of its proper divisors (14368912348).

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

12084000292 is a wasteful number, since it uses less digits than its factorization.

12084000292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 12084000292 in words is "twelve billion, eighty-four million, two hundred ninety-two", and thus it is an aban number.