12221221010000 has 100 divisors (see below), whose sum is σ = 29921258772900. Its totient is φ = 4833561216000.

The previous prime is 12221221009969. The next prime is 12221221010059. The reversal of 12221221010000 is 1012212221.

12221221010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 12216255270976 + 4965739024 = 3495176^2 + 70468^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5975855 + ... + 7755854.

It is an arithmetic number, because the mean of its divisors is an integer number (299212587729).

Almost surely, 2^{12221221010000} is an apocalyptic number.

12221221010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221221010000 is an abundant number, since it is smaller than the sum of its proper divisors (17700037762900).

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

12221221010000 is an equidigital number, since it uses as much as digits as its factorization.

12221221010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731826 (or 13731805 counting only the distinct ones).

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

Adding to 12221221010000 its reverse (1012212221), we get a palindrome (12222233222221).

The spelling of 12221221010000 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, ten thousand".