212002121200212 has 288 divisors, whose sum is σ = 645443975135232. Its totient is φ = 57362069749248.

The previous prime is 212002121200193. The next prime is 212002121200213.

It is a happy number.

212002121200212 is a `hidden beast` number, since 2 + 120 + 0 + 212 + 120 + 0 + 212 = 666.

212002121200212 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002121200213) 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 95 ways as a sum of consecutive naturals, for example, 1027521853 + ... + 1027728155.

It is an arithmetic number, because the mean of its divisors is an integer number (2241124913664).

Almost surely, 2^{212002121200212} 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 212002121200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322721987567616).

212002121200212 is an abundant number, since it is smaller than the sum of its proper divisors (433441853935020).

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

212002121200212 is a wasteful number, since it uses less digits than its factorization.

212002121200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208107 (or 208102 counting only the distinct ones).

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

The spelling of 212002121200212 in words is "two hundred twelve trillion, two billion, one hundred twenty-one million, two hundred thousand, two hundred twelve".