212120220012012 has 144 divisors (see below), whose sum is σ = 591799933277280. Its totient is φ = 63645970406400.

The previous prime is 212120220011981. The next prime is 212120220012023. The reversal of 212120220012012 is 210210022021212.

It is a happy number.

212120220012012 is a `hidden beast` number, since 212 + 120 + 2 + 200 + 120 + 12 = 666.

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

It is an unprimeable number.

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, 38295814 + ... + 43483442.

It is an arithmetic number, because the mean of its divisors is an integer number (4109721758870).

Almost surely, 2^{212120220012012} 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 212120220012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295899966638640).

212120220012012 is an abundant number, since it is smaller than the sum of its proper divisors (379679713265268).

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

212120220012012 is a wasteful number, since it uses less digits than its factorization.

212120220012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189824 (or 5189819 counting only the distinct ones).

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

Adding to 212120220012012 its reverse (210210022021212), we get a palindrome (422330242033224).

The spelling of 212120220012012 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twenty million, twelve thousand, twelve".