12129554304 has 320 divisors, whose sum is σ = 42378478560. Its totient is φ = 3371175936.

The previous prime is 12129554299. The next prime is 12129554329. The reversal of 12129554304 is 40345592121.

12129554304 is a `hidden beast` number, since 1 + 21 + 2 + 95 + 543 + 0 + 4 = 666.

12129554304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12129554304² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 2683054 + ... + 2687570.

Almost surely, 2^12129554304 is an apocalyptic number.

12129554304 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 12129554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189239280).

12129554304 is an abundant number, since it is smaller than the sum of its proper divisors (30248924256).

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

12129554304 is an equidigital number, since it uses as much as digits as its factorization.

12129554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12129554304 in words is "twelve billion, one hundred twenty-nine million, five hundred fifty-four thousand, three hundred four".