2211120221120 has 224 divisors, whose sum is σ = 5876931827520. Its totient is φ = 787459276800.

The previous prime is 2211120221119. The next prime is 2211120221207. The reversal of 2211120221120 is 211220211122.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 72440102 + ... + 72470618.

Almost surely, 2^{2211120221120} is an apocalyptic number.

2211120221120 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 2211120221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938465913760).

2211120221120 is an abundant number, since it is smaller than the sum of its proper divisors (3665811606400).

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

2211120221120 is a wasteful number, since it uses less digits than its factorization.

2211120221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31271 (or 31261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2211120221120 its reverse (211220211122), we get a palindrome (2422340432242).

The spelling of 2211120221120 in words is "two trillion, two hundred eleven billion, one hundred twenty million, two hundred twenty-one thousand, one hundred twenty".