20212212002112 has 336 divisors, whose sum is σ = 63469146987792. Its totient is φ = 6112589414400.

The previous prime is 20212212002041. The next prime is 20212212002131. The reversal of 20212212002112 is 21120021221202.

It is a happy number.

20212212002112 is a `hidden beast` number, since 20 + 212 + 21 + 200 + 211 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 640294433856 + 19571917568256 = 800184^2 + 4424016^2 .

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 103513918 + ... + 103708994.

It is an arithmetic number, because the mean of its divisors is an integer number (188896270797).

Almost surely, 2^{20212212002112} 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 20212212002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31734573493896).

20212212002112 is an abundant number, since it is smaller than the sum of its proper divisors (43256934985680).

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

20212212002112 is a wasteful number, since it uses less digits than its factorization.

20212212002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195346 (or 195333 counting only the distinct ones).

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

Adding to 20212212002112 its reverse (21120021221202), we get a palindrome (41332233223314).

The spelling of 20212212002112 in words is "twenty trillion, two hundred twelve billion, two hundred twelve million, two thousand, one hundred twelve".