2221221200000 has 288 divisors, whose sum is σ = 6079669509060. Its totient is φ = 807699200000.

The previous prime is 2221221199973. The next prime is 2221221200021. The reversal of 2221221200000 is 21221222.

It can be written as a sum of positive squares in 6 ways, for example, as 543947550784 + 1677273649216 = 737528^2 + 1295096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48377054 + ... + 48422946.

Almost surely, 2^{2221221200000} is an apocalyptic number.

2221221200000 is a gapful number since it is divisible by the number (20) 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 2221221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039834754530).

2221221200000 is an abundant number, since it is smaller than the sum of its proper divisors (3858448309060).

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

2221221200000 is an frugal number, since it uses more digits than its factorization.

2221221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45954 (or 45911 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2221221200000 its reverse (21221222), we get a palindrome (2221242421222).

It can be divided in two parts, 22212 and 21200000, that added together give a palindrome (21222212).

The spelling of 2221221200000 in words is "two trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand".