2002022122112 has 64 divisors (see below), whose sum is σ = 4064705546760. Its totient is φ = 981870489600.

The previous prime is 2002022122103. The next prime is 2002022122117. The reversal of 2002022122112 is 2112212202002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1543498125376 + 458523996736 = 1242376^2 + 677144^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2002022122117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27730862 + ... + 27802962.

Almost surely, 2^{2002022122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032352773380).

2002022122112 is an abundant number, since it is smaller than the sum of its proper divisors (2062683424648).

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

2002022122112 is an equidigital number, since it uses as much as digits as its factorization.

2002022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76261 (or 76249 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2002022122112 its reverse (2112212202002), we get a palindrome (4114234324114).

The spelling of 2002022122112 in words is "two trillion, two billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".