2112220202220 has 240 divisors, whose sum is σ = 6728440746720. Its totient is φ = 554568892416.

The previous prime is 2112220202219. The next prime is 2112220202231. The reversal of 2112220202220 is 222020222112.

2112220202220 is a `hidden beast` number, since 21 + 1 + 2 + 220 + 202 + 220 = 666.

It is a super-2 number, since 2×2112220202220² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2112220202193 and 2112220202202.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 291860442 + ... + 291867678.

It is an arithmetic number, because the mean of its divisors is an integer number (28035169778).

Almost surely, 2^{2112220202220} is an apocalyptic number.

2112220202220 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 2112220202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364220373360).

2112220202220 is an abundant number, since it is smaller than the sum of its proper divisors (4616220544500).

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

2112220202220 is a wasteful number, since it uses less digits than its factorization.

2112220202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10014 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2112220202220 its reverse (222020222112), we get a palindrome (2334240424332).

The spelling of 2112220202220 in words is "two trillion, one hundred twelve billion, two hundred twenty million, two hundred two thousand, two hundred twenty".