212100120011200 has 672 divisors, whose sum is σ = 547995326054400. Its totient is φ = 80709123686400.

The previous prime is 212100120011183. The next prime is 212100120011203. The reversal of 212100120011200 is 2110021001212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100120011203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380790161322 + ... + 380790161878.

It is an arithmetic number, because the mean of its divisors is an integer number (815469235200).

Almost surely, 2^{212100120011200} is an apocalyptic number.

212100120011200 is a gapful number since it is divisible by the number (20) 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 212100120011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273997663027200).

212100120011200 is an abundant number, since it is smaller than the sum of its proper divisors (335895206043200).

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

212100120011200 is a wasteful number, since it uses less digits than its factorization.

212100120011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212100120011200 its reverse (2110021001212), we get a palindrome (214210141012412).

The spelling of 212100120011200 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty million, eleven thousand, two hundred".