212201123211000 has 2304 divisors, whose sum is σ = 950063733964800. Its totient is φ = 41700510720000.

The previous prime is 212201123210971. The next prime is 212201123211017. The reversal of 212201123211000 is 112321102212.

212201123211000 is a `hidden beast` number, since 2 + 1 + 220 + 112 + 321 + 10 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 127601396169 + ... + 127601397831.

It is an arithmetic number, because the mean of its divisors is an integer number (412354051200).

Almost surely, 2^{212201123211000} is an apocalyptic number.

212201123211000 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 212201123211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475031866982400).

212201123211000 is an abundant number, since it is smaller than the sum of its proper divisors (737862610753800).

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

212201123211000 is a wasteful number, since it uses less digits than its factorization.

212201123211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212201123211000 its reverse (112321102212), we get a palindrome (212313444313212).

The spelling of 212201123211000 in words is "two hundred twelve trillion, two hundred one billion, one hundred twenty-three million, two hundred eleven thousand".