212010211211120 has 80 divisors (see below), whose sum is σ = 563344018050240. Its totient is φ = 72688879828992.

The previous prime is 212010211211111. The next prime is 212010211211129. The reversal of 212010211211120 is 21112112010212.

It is an interprime number because it is at equal distance from previous prime (212010211211111) and next prime (212010211211129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212010211211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141195824 + ... + 142689456.

It is an arithmetic number, because the mean of its divisors is an integer number (7041800225628).

Almost surely, 2^{212010211211120} is an apocalyptic number.

212010211211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212010211211120 is an abundant number, since it is smaller than the sum of its proper divisors (351333806839120).

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

212010211211120 is a wasteful number, since it uses less digits than its factorization.

212010211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747122 (or 1747116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 212010211211120 its reverse (21112112010212), we get a palindrome (233122323221332).

The spelling of 212010211211120 in words is "two hundred twelve trillion, ten billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".