2112112222220 has 192 divisors, whose sum is σ = 6036853487616. Its totient is φ = 599355832320.

The previous prime is 2112112222201. The next prime is 2112112222229. The reversal of 2112112222220 is 222222112112.

It is a super-2 number, since 2×2112112222220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2112112222192 and 2112112222201.

It is not an unprimeable number, because it can be changed into a prime (2112112222229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738857 + ... + 2184063.

It is an arithmetic number, because the mean of its divisors is an integer number (31441945248).

Almost surely, 2^{2112112222220} is an apocalyptic number.

2112112222220 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 2112112222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018426743808).

2112112222220 is an abundant number, since it is smaller than the sum of its proper divisors (3924741265396).

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

2112112222220 is a wasteful number, since it uses less digits than its factorization.

2112112222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445320 (or 1445318 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2112112222220 its reverse (222222112112), we get a palindrome (2334334334332).

It can be divided in two parts, 2112112 and 222220, that added together give a palindrome (2334332).

The spelling of 2112112222220 in words is "two trillion, one hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, two hundred twenty".