20121122101212 has 72 divisors (see below), whose sum is σ = 55489717745280. Its totient is φ = 6096848274720.

The previous prime is 20121122101207. The next prime is 20121122101217. The reversal of 20121122101212 is 21210122112102.

20121122101212 is a `hidden beast` number, since 20 + 1 + 211 + 221 + 0 + 1 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (20121122101207) and next prime (20121122101217).

It is a super-2 number, since 2×20121122101212² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121122101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3334473 + ... + 7166655.

It is an arithmetic number, because the mean of its divisors is an integer number (770690524240).

Almost surely, 2^{20121122101212} is an apocalyptic number.

20121122101212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20121122101212 is an abundant number, since it is smaller than the sum of its proper divisors (35368595644068).

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

20121122101212 is a wasteful number, since it uses less digits than its factorization.

20121122101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845463 (or 3845458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20121122101212 its reverse (21210122112102), we get a palindrome (41331244213314).

The spelling of 20121122101212 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand, two hundred twelve".