12034129320 has 384 divisors, whose sum is σ = 43152445440. Its totient is φ = 2895298560.

The previous prime is 12034129319. The next prime is 12034129363. The reversal of 12034129320 is 2392143021.

It is a happy number.

12034129320 is a `hidden beast` number, since 12 + 0 + 341 + 293 + 20 = 666.

12034129320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 25991409 + ... + 25991871.

It is an arithmetic number, because the mean of its divisors is an integer number (112376160).

Almost surely, 2^12034129320 is an apocalyptic number.

12034129320 is a gapful number since it is divisible by the number (10) 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 12034129320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576222720).

12034129320 is an abundant number, since it is smaller than the sum of its proper divisors (31118316120).

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

12034129320 is a wasteful number, since it uses less digits than its factorization.

12034129320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12034129320 in words is "twelve billion, thirty-four million, one hundred twenty-nine thousand, three hundred twenty".