12212112120012 has 144 divisors (see below), whose sum is σ = 35883920217600. Its totient is φ = 3429813176064.

The previous prime is 12212112119993. The next prime is 12212112120017. The reversal of 12212112120012 is 21002121121221.

12212112120012 is a `hidden beast` number, since 1 + 221 + 211 + 21 + 200 + 12 = 666.

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 (12212112120017) 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 47 ways as a sum of consecutive naturals, for example, 2695288 + ... + 5629280.

It is an arithmetic number, because the mean of its divisors is an integer number (249193890400).

Almost surely, 2^{12212112120012} is an apocalyptic number.

12212112120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212112120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941960108800).

12212112120012 is an abundant number, since it is smaller than the sum of its proper divisors (23671808097588).

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

12212112120012 is a wasteful number, since it uses less digits than its factorization.

12212112120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934292 (or 2934287 counting only the distinct ones).

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

Adding to 12212112120012 its reverse (21002121121221), we get a palindrome (33214233241233).

The spelling of 12212112120012 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, twelve".