12001122210330 has 256 divisors, whose sum is σ = 36758234419200. Its totient is φ = 2755609632000.

The previous prime is 12001122210289. The next prime is 12001122210479. The reversal of 12001122210330 is 3301222110021.

12001122210330 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 1 + 122 + 210 + 330 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 274848700 + ... + 274892360.

It is an arithmetic number, because the mean of its divisors is an integer number (143586853200).

Almost surely, 2^{12001122210330} is an apocalyptic number.

12001122210330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001122210330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379117209600).

12001122210330 is an abundant number, since it is smaller than the sum of its proper divisors (24757112208870).

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

12001122210330 is a wasteful number, since it uses less digits than its factorization.

12001122210330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48578 (or 48572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12001122210330 its reverse (3301222110021), we get a palindrome (15302344320351).

The spelling of 12001122210330 in words is "twelve trillion, one billion, one hundred twenty-two million, two hundred ten thousand, three hundred thirty".