2221220201120 has 192 divisors, whose sum is σ = 5366258100000. Its totient is φ = 868598415360.

The previous prime is 2221220201111. The next prime is 2221220201129. The reversal of 2221220201120 is 211020221222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2221220201111) and next prime (2221220201129).

It can be written as a sum of positive squares in 16 ways, for example, as 21539671696 + 2199680529424 = 146764^2 + 1483132^2 .

It is not an unprimeable number, because it can be changed into a prime (2221220201129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1778398256 + ... + 1778399504.

Almost surely, 2^{2221220201120} is an apocalyptic number.

2221220201120 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 2221220201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683129050000).

2221220201120 is an abundant number, since it is smaller than the sum of its proper divisors (3145037898880).

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

2221220201120 is a wasteful number, since it uses less digits than its factorization.

2221220201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2283 counting only the distinct ones).

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

Adding to 2221220201120 its reverse (211020221222), we get a palindrome (2432240422342).

The spelling of 2221220201120 in words is "two trillion, two hundred twenty-one billion, two hundred twenty million, two hundred one thousand, one hundred twenty".