12034200321 has 96 divisors (see below), whose sum is σ = 21621841920. Its totient is φ = 6567264000.

The previous prime is 12034200319. The next prime is 12034200401. The reversal of 12034200321 is 12300243021.

12034200321 is a `hidden beast` number, since 1 + 2 + 0 + 342 + 0 + 0 + 321 = 666.

It is not a de Polignac number, because 12034200321 - 2¹ = 12034200319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12034200294 and 12034200303.

It is not an unprimeable number, because it can be changed into a prime (12034200121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1737856 + ... + 1744766.

It is an arithmetic number, because the mean of its divisors is an integer number (225227520).

Almost surely, 2^12034200321 is an apocalyptic number.

12034200321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12034200321 is a deficient number, since it is larger than the sum of its proper divisors (9587641599).

12034200321 is a wasteful number, since it uses less digits than its factorization.

12034200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6996 (or 6979 counting only the distinct ones).

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

Adding to 12034200321 its reverse (12300243021), we get a palindrome (24334443342).

The spelling of 12034200321 in words is "twelve billion, thirty-four million, two hundred thousand, three hundred twenty-one".