2112233112220 has 96 divisors (see below), whose sum is σ = 5539538543616. Its totient is φ = 657247872000.

The previous prime is 2112233112193. The next prime is 2112233112259. The reversal of 2112233112220 is 222113322112.

It is a super-2 number, since 2×2112233112220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2112233112191 and 2112233112200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243256 + ... + 2069695.

It is an arithmetic number, because the mean of its divisors is an integer number (57703526496).

Almost surely, 2^{2112233112220} is an apocalyptic number.

2112233112220 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 2112233112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769769271808).

2112233112220 is an abundant number, since it is smaller than the sum of its proper divisors (3427305431396).

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

2112233112220 is a wasteful number, since it uses less digits than its factorization.

2112233112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313571 (or 2313569 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2112233112220 its reverse (222113322112), we get a palindrome (2334346434332).

The spelling of 2112233112220 in words is "two trillion, one hundred twelve billion, two hundred thirty-three million, one hundred twelve thousand, two hundred twenty".