2211122111120 has 160 divisors (see below), whose sum is σ = 5556431865600. Its totient is φ = 813451548672.

The previous prime is 2211122111111. The next prime is 2211122111173. The reversal of 2211122111120 is 211112211122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 519894914 + ... + 519899166.

It is an arithmetic number, because the mean of its divisors is an integer number (34727699160).

Almost surely, 2^{2211122111120} is an apocalyptic number.

2211122111120 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 2211122111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778215932800).

2211122111120 is an abundant number, since it is smaller than the sum of its proper divisors (3345309754480).

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

2211122111120 is a wasteful number, since it uses less digits than its factorization.

2211122111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2211122111120 its reverse (211112211122), we get a palindrome (2422234322242).

The spelling of 2211122111120 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".