212021242120212 has 192 divisors, whose sum is σ = 574032548812800. Its totient is φ = 59658756595200.

The previous prime is 212021242120187. The next prime is 212021242120231.

212021242120212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×212021242120212² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1199269239 + ... + 1199446017.

It is an arithmetic number, because the mean of its divisors is an integer number (2989752858400).

Almost surely, 2^{212021242120212} 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 212021242120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287016274406400).

212021242120212 is an abundant number, since it is smaller than the sum of its proper divisors (362011306692588).

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

212021242120212 is a wasteful number, since it uses less digits than its factorization.

212021242120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177646 (or 177644 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 212021242120212 in words is "two hundred twelve trillion, twenty-one billion, two hundred forty-two million, one hundred twenty thousand, two hundred twelve".