12221022122000 has 80 divisors (see below), whose sum is σ = 29553463967664. Its totient is φ = 4887907200000.

The previous prime is 12221022121991. The next prime is 12221022122051. The reversal of 12221022122000 is 22122012221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5135970647824 + 7085051474176 = 2266268^2 + 2661776^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12221022122000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19493420 + ... + 20110580.

Almost surely, 2^{12221022122000} is an apocalyptic number.

12221022122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221022122000 is an abundant number, since it is smaller than the sum of its proper divisors (17332441845664).

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

12221022122000 is an equidigital number, since it uses as much as digits as its factorization.

12221022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627085 (or 627069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12221022122000 its reverse (22122012221), we get a palindrome (12243144134221).

It can be divided in two parts, 122210221 and 22000, that added together give a palindrome (122232221).

The spelling of 12221022122000 in words is "twelve trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand".