12210122221000 has 384 divisors, whose sum is σ = 31715496540000. Its totient is φ = 4396381440000.

The previous prime is 12210122220997. The next prime is 12210122221001. The reversal of 12210122221000 is 12222101221.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 8028416234916 + 4181705986084 = 2833446^2 + 2044922^2 .

It is not an unprimeable number, because it can be changed into a prime (12210122221001) 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, 7013280130 + ... + 7013281870.

Almost surely, 2^{12210122221000} is an apocalyptic number.

12210122221000 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 12210122221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857748270000).

12210122221000 is an abundant number, since it is smaller than the sum of its proper divisors (19505374319000).

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

12210122221000 is a wasteful number, since it uses less digits than its factorization.

12210122221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12210122221000 its reverse (12222101221), we get a palindrome (12222344322221).

It can be divided in two parts, 12 and 210122221000, that added together give a palindrome (210122221012).

The spelling of 12210122221000 in words is "twelve trillion, two hundred ten billion, one hundred twenty-two million, two hundred twenty-one thousand".