2001220002112 has 28 divisors (see below), whose sum is σ = 3975678625716. Its totient is φ = 999474206720.

The previous prime is 2001220002077. The next prime is 2001220002113. The reversal of 2001220002112 is 2112000221002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98983227456 + 1902236774656 = 314616^2 + 1379216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001220002092 and 2001220002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001220002113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17689963 + ... + 17802730.

It is an arithmetic number, because the mean of its divisors is an integer number (141988522347).

Almost surely, 2^{2001220002112} is an apocalyptic number.

It is an amenable number.

2001220002112 is a deficient number, since it is larger than the sum of its proper divisors (1974458623604).

2001220002112 is an equidigital number, since it uses as much as digits as its factorization.

2001220002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35493586 (or 35493576 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2001220002112 its reverse (2112000221002), we get a palindrome (4113220223114).

The spelling of 2001220002112 in words is "two trillion, one billion, two hundred twenty million, two thousand, one hundred twelve".