12211221330000 has 1200 divisors, whose sum is σ = 53652270177792. Its totient is φ = 2517840000000.

The previous prime is 12211221329999. The next prime is 12211221330001. The reversal of 12211221330000 is 3312211221.

It is an interprime number because it is at equal distance from previous prime (12211221329999) and next prime (12211221330001).

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×12211221330000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211221330001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 907823275 + ... + 907836725.

Almost surely, 2^{12211221330000} is an apocalyptic number.

12211221330000 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 12211221330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26826135088896).

12211221330000 is an abundant number, since it is smaller than the sum of its proper divisors (41441048847792).

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

12211221330000 is a wasteful number, since it uses less digits than its factorization.

12211221330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13634 (or 13610 counting only the distinct ones).

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

Adding to 12211221330000 its reverse (3312211221), we get a palindrome (12214533541221).

It can be divided in two parts, 1221 and 1221330000, that added together give a palindrome (1221331221).

The spelling of 12211221330000 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-one million, three hundred thirty thousand".