2112122220 has 96 divisors (see below), whose sum is σ = 6428636928. Its totient is φ = 515027712.

The previous prime is 2112122209. The next prime is 2112122231. The reversal of 2112122220 is 222212112.

It is an interprime number because it is at equal distance from previous prime (2112122209) and next prime (2112122231).

It is a super-2 number, since 2×2112122220² = 8922120544435456800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112122220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70807 + ... + 96113.

It is an arithmetic number, because the mean of its divisors is an integer number (66964968).

Almost surely, 2^2112122220 is an apocalyptic number.

2112122220 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 2112122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214318464).

2112122220 is an abundant number, since it is smaller than the sum of its proper divisors (4316514708).

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

2112122220 is a wasteful number, since it uses less digits than its factorization.

2112122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25439 (or 25437 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2112122220 is about 45957.8308887615. The cubic root of 2112122220 is about 1283.0384805642.

Adding to 2112122220 its reverse (222212112), we get a palindrome (2334334332).

The spelling of 2112122220 in words is "two billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty".