212200202002212 has 36 divisors (see below), whose sum is σ = 536396078512476. Its totient is φ = 70733252520000.

The previous prime is 212200202002199. The next prime is 212200202002219.

212200202002212 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 20 + 200 + 221 + 2 = 666.

212200202002212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 143207509360356 + 68992692641856 = 11966934^2 + 8306184^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (212200202002219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11985978 + ... + 23834094.

It is an arithmetic number, because the mean of its divisors is an integer number (14899891069791).

Almost surely, 2^{212200202002212} is an apocalyptic number.

It is an amenable number.

212200202002212 is an abundant number, since it is smaller than the sum of its proper divisors (324195876510264).

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

212200202002212 is a wasteful number, since it uses less digits than its factorization.

212200202002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12345628 (or 12345623 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 21220020 and 2002212, that added together give a palindrome (23222232).

The spelling of 212200202002212 in words is "two hundred twelve trillion, two hundred billion, two hundred two million, two thousand, two hundred twelve".