2112232232220 has 384 divisors, whose sum is σ = 6740725727232. Its totient is φ = 489568665600.

The previous prime is 2112232232219. The next prime is 2112232232267. The reversal of 2112232232220 is 222322322112.

It is a super-2 number, since 2×2112232232220² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 667792359 + ... + 667795521.

It is an arithmetic number, because the mean of its divisors is an integer number (17553973248).

Almost surely, 2^{2112232232220} is an apocalyptic number.

2112232232220 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 2112232232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370362863616).

2112232232220 is an abundant number, since it is smaller than the sum of its proper divisors (4628493495012).

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

2112232232220 is a wasteful number, since it uses less digits than its factorization.

2112232232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2112232232220 its reverse (222322322112), we get a palindrome (2334554554332).

The spelling of 2112232232220 in words is "two trillion, one hundred twelve billion, two hundred thirty-two million, two hundred thirty-two thousand, two hundred twenty".