12330952704 has 720 divisors, whose sum is σ = 45076171140. Its totient is φ = 3344302080.

The previous prime is 12330952691. The next prime is 12330952729. The reversal of 12330952704 is 40725903321.

12330952704 is a `hidden beast` number, since 123 + 3 + 0 + 9 + 527 + 0 + 4 = 666.

12330952704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12294374400 + 36578304 = 110880^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 300754924 + ... + 300754964.

Almost surely, 2^12330952704 is an apocalyptic number.

12330952704 is a gapful number since it is divisible by the number (14) 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 12330952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22538085570).

12330952704 is an abundant number, since it is smaller than the sum of its proper divisors (32745218436).

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

12330952704 is an equidigital number, since it uses as much as digits as its factorization.

12330952704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12330952704 in words is "twelve billion, three hundred thirty million, nine hundred fifty-two thousand, seven hundred four".