12212210102000 has 320 divisors, whose sum is σ = 30161536204800. Its totient is φ = 4781543270400.

The previous prime is 12212210101991. The next prime is 12212210102021. The reversal of 12212210102000 is 20101221221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10816837436 + ... + 10816838564.

It is an arithmetic number, because the mean of its divisors is an integer number (94254800640).

Almost surely, 2^{12212210102000} is an apocalyptic number.

12212210102000 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 12212210102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080768102400).

12212210102000 is an abundant number, since it is smaller than the sum of its proper divisors (17949326102800).

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

12212210102000 is a wasteful number, since it uses less digits than its factorization.

12212210102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12212210102000 its reverse (20101221221), we get a palindrome (12232311323221).

The spelling of 12212210102000 in words is "twelve trillion, two hundred twelve billion, two hundred ten million, one hundred two thousand".