12122110210212 has 72 divisors (see below), whose sum is σ = 31823760641400. Its totient is φ = 3887321061888.

The previous prime is 12122110210201. The next prime is 12122110210213. The reversal of 12122110210212 is 21201201122121.

12122110210212 is a `hidden beast` number, since 1 + 21 + 221 + 1 + 0 + 210 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235502501796 + 11886607708416 = 485286^2 + 3447696^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12122110210213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51008887 + ... + 51245982.

It is an arithmetic number, because the mean of its divisors is an integer number (441996675575).

Almost surely, 2^{12122110210212} is an apocalyptic number.

12122110210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122110210212 is an abundant number, since it is smaller than the sum of its proper divisors (19701650431188).

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

12122110210212 is a wasteful number, since it uses less digits than its factorization.

12122110210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102255005 (or 102255000 counting only the distinct ones).

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

Adding to 12122110210212 its reverse (21201201122121), we get a palindrome (33323311332333).

The spelling of 12122110210212 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, two hundred ten thousand, two hundred twelve".