12010844352 has 448 divisors, whose sum is σ = 39129882624. Its totient is φ = 3211591680.

The previous prime is 12010844299. The next prime is 12010844353. The reversal of 12010844352 is 25344801021.

12010844352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12010844353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30253818 + ... + 30254214.

It is an arithmetic number, because the mean of its divisors is an integer number (87343488).

Almost surely, 2^12010844352 is an apocalyptic number.

12010844352 is a gapful number since it is divisible by the number (12) 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 12010844352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19564941312).

12010844352 is an abundant number, since it is smaller than the sum of its proper divisors (27119038272).

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

12010844352 is a wasteful number, since it uses less digits than its factorization.

12010844352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12010844352 in words is "twelve billion, ten million, eight hundred forty-four thousand, three hundred fifty-two".