12291840000 has 720 divisors, whose sum is σ = 48894005160. Its totient is φ = 2949120000.

The previous prime is 12291839983. The next prime is 12291840013. The reversal of 12291840000 is 4819221.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 126719952 + ... + 126720048.

Almost surely, 2^12291840000 is an apocalyptic number.

12291840000 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 12291840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24447002580).

12291840000 is an abundant number, since it is smaller than the sum of its proper divisors (36602165160).

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

12291840000 is an equidigital number, since it uses as much as digits as its factorization.

12291840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 118 counting only the distinct ones).

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

The spelling of 12291840000 in words is "twelve billion, two hundred ninety-one million, eight hundred forty thousand".