212000020211000 has 256 divisors, whose sum is σ = 577503876268800. Its totient is φ = 71344407552000.

The previous prime is 212000020210903. The next prime is 212000020211003. The reversal of 212000020211000 is 112020000212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000020211003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84109070 + ... + 86592930.

It is an arithmetic number, because the mean of its divisors is an integer number (2255874516675).

Almost surely, 2^{212000020211000} is an apocalyptic number.

212000020211000 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 212000020211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288751938134400).

212000020211000 is an abundant number, since it is smaller than the sum of its proper divisors (365503856057800).

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

212000020211000 is a wasteful number, since it uses less digits than its factorization.

212000020211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484115 (or 2484101 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212000020211000 its reverse (112020000212), we get a palindrome (212112040211212).

The spelling of 212000020211000 in words is "two hundred twelve trillion, twenty million, two hundred eleven thousand".