2122220112012 has 288 divisors, whose sum is σ = 7212932213760. Its totient is φ = 508100221440.

The previous prime is 2122220112007. The next prime is 2122220112029. The reversal of 2122220112012 is 2102110222212.

It is a happy number.

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

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 95 ways as a sum of consecutive naturals, for example, 25507993 + ... + 25591055.

It is an arithmetic number, because the mean of its divisors is an integer number (25044903520).

Almost surely, 2^{2122220112012} is an apocalyptic number.

2122220112012 is a gapful number since it is divisible by the number (22) 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 2122220112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606466106880).

2122220112012 is an abundant number, since it is smaller than the sum of its proper divisors (5090712101748).

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

2122220112012 is a wasteful number, since it uses less digits than its factorization.

2122220112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83813 (or 83808 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122220112012 its reverse (2102110222212), we get a palindrome (4224330334224).

The spelling of 2122220112012 in words is "two trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twelve thousand, twelve".