12010430304 has 96 divisors (see below), whose sum is σ = 35226576000. Its totient is φ = 3981059712.

The previous prime is 12010430303. The next prime is 12010430321. The reversal of 12010430304 is 40303401021.

12010430304 is a `hidden beast` number, since 1 + 201 + 0 + 430 + 30 + 4 = 666.

12010430304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010430303) 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 15 ways as a sum of consecutive naturals, for example, 115827 + ... + 193485.

It is an arithmetic number, because the mean of its divisors is an integer number (366943500).

Almost surely, 2^12010430304 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 12010430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613288000).

12010430304 is an abundant number, since it is smaller than the sum of its proper divisors (23216145696).

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

12010430304 is a wasteful number, since it uses less digits than its factorization.

12010430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77857 (or 77843 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12010430304 its reverse (40303401021), we get a palindrome (52313831325).

The spelling of 12010430304 in words is "twelve billion, ten million, four hundred thirty thousand, three hundred four".