12221103330000 has 300 divisors, whose sum is σ = 43894082700468. Its totient is φ = 3170880000000.

The previous prime is 12221103329983. The next prime is 12221103330103. The reversal of 12221103330000 is 3330112221.

12221103330000 is a `hidden beast` number, since 1 + 222 + 110 + 3 + 330 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 9146172741696 + 3074930588304 = 3024264^2 + 1753548^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1495000 + ... + 5165000.

Almost surely, 2^{12221103330000} is an apocalyptic number.

12221103330000 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 12221103330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21947041350234).

12221103330000 is an abundant number, since it is smaller than the sum of its proper divisors (31672979370468).

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

12221103330000 is a wasteful number, since it uses less digits than its factorization.

12221103330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670072 (or 3670048 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12221103330000 its reverse (3330112221), we get a palindrome (12224433442221).

The spelling of 12221103330000 in words is "twelve trillion, two hundred twenty-one billion, one hundred three million, three hundred thirty thousand".