2112122122220 has 48 divisors (see below), whose sum is σ = 4886587542816. Its totient is φ = 760440000000.

The previous prime is 2112122122171. The next prime is 2112122122249. The reversal of 2112122122220 is 222212212112.

It is a super-2 number, since 2×2112122122220² (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 = 2112122122192 and 2112122122201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47505281 + ... + 47549720.

It is an arithmetic number, because the mean of its divisors is an integer number (101803907142).

Almost surely, 2^{2112122122220} is an apocalyptic number.

2112122122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112122122220 is an abundant number, since it is smaller than the sum of its proper divisors (2774465420596).

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

2112122122220 is a wasteful number, since it uses less digits than its factorization.

2112122122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95055122 (or 95055120 counting only the distinct ones).

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

Adding to 2112122122220 its reverse (222212212112), we get a palindrome (2334334334332).

The spelling of 2112122122220 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty".