2221221122000 has 80 divisors (see below), whose sum is σ = 5686848799632. Its totient is φ = 836224409600.

The previous prime is 2221221121961. The next prime is 2221221122027. The reversal of 2221221122000 is 2211221222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1217209105984 + 1004012016016 = 1103272^2 + 1002004^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2221221122000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32631017 + ... + 32699016.

Almost surely, 2^{2221221122000} is an apocalyptic number.

2221221122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221221122000 is an abundant number, since it is smaller than the sum of its proper divisors (3465627677632).

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

2221221122000 is a wasteful number, since it uses less digits than its factorization.

2221221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65330073 (or 65330057 counting only the distinct ones).

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

Adding to 2221221122000 its reverse (2211221222), we get a palindrome (2223432343222).

The spelling of 2221221122000 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand".