12921420288 has 240 divisors, whose sum is σ = 41533145280. Its totient is φ = 3496476672.

The previous prime is 12921420287. The next prime is 12921420311. The reversal of 12921420288 is 88202412921.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12921420287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3879808 + ... + 3883136.

It is an arithmetic number, because the mean of its divisors is an integer number (173054772).

Almost surely, 2^12921420288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12921420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20766572640).

12921420288 is an abundant number, since it is smaller than the sum of its proper divisors (28611724992).

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

12921420288 is an equidigital number, since it uses as much as digits as its factorization.

12921420288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 12921420288 in words is "twelve billion, nine hundred twenty-one million, four hundred twenty thousand, two hundred eighty-eight".