212011212101200 has 60 divisors (see below), whose sum is σ = 521780277042108. Its totient is φ = 82736082764800.

The previous prime is 212011212101177. The next prime is 212011212101209. The reversal of 212011212101200 is 2101212110212.

It can be written as a sum of positive squares in 6 ways, for example, as 272742973504 + 211738469127696 = 522248^2 + 14551236^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011212101209) 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, 6463740067 + ... + 6463772866.

Almost surely, 2^{212011212101200} is an apocalyptic number.

212011212101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011212101200 is an abundant number, since it is smaller than the sum of its proper divisors (309769064940908).

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

212011212101200 is a wasteful number, since it uses less digits than its factorization.

212011212101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12927512992 (or 12927512981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212011212101200 its reverse (2101212110212), we get a palindrome (214112424211412).

The spelling of 212011212101200 in words is "two hundred twelve trillion, eleven billion, two hundred twelve million, one hundred one thousand, two hundred".