212201311000 has 192 divisors, whose sum is σ = 578890540800. Its totient is φ = 72594816000.

The previous prime is 212201310991. The next prime is 212201311031. The reversal of 212201311000 is 113102212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23466480 + ... + 23475520.

It is an arithmetic number, because the mean of its divisors is an integer number (3015054900).

Almost surely, 2^212201311000 is an apocalyptic number.

212201311000 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 212201311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289445270400).

212201311000 is an abundant number, since it is smaller than the sum of its proper divisors (366689229800).

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

212201311000 is a wasteful number, since it uses less digits than its factorization.

212201311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9555 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 212201311000 its reverse (113102212), we get a palindrome (212314413212).

The spelling of 212201311000 in words is "two hundred twelve billion, two hundred one million, three hundred eleven thousand".