212004212112 has 400 divisors, whose sum is σ = 789699170304. Its totient is φ = 53288928000.

The previous prime is 212004212093. The next prime is 212004212177. The reversal of 212004212112 is 211212400212.

212004212112 is a `hidden beast` number, since 21 + 200 + 421 + 21 + 1 + 2 = 666.

212004212112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3059287 + ... + 3127817.

Almost surely, 2^212004212112 is an apocalyptic number.

212004212112 is a gapful number since it is divisible by the number (22) 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 212004212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394849585152).

212004212112 is an abundant number, since it is smaller than the sum of its proper divisors (577694958192).

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

212004212112 is a wasteful number, since it uses less digits than its factorization.

212004212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68600 (or 68585 counting only the distinct ones).

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

Adding to 212004212112 its reverse (211212400212), we get a palindrome (423216612324).

The spelling of 212004212112 in words is "two hundred twelve billion, four million, two hundred twelve thousand, one hundred twelve".