212201200200 has 384 divisors, whose sum is σ = 731436935040. Its totient is φ = 50457600000.

The previous prime is 212201200193. The next prime is 212201200249. The reversal of 212201200200 is 2002102212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241962162 + ... + 241963038.

It is an arithmetic number, because the mean of its divisors is an integer number (1904783685).

Almost surely, 2^212201200200 is an apocalyptic number.

212201200200 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 212201200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365718467520).

212201200200 is an abundant number, since it is smaller than the sum of its proper divisors (519235734840).

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

212201200200 is a wasteful number, since it uses less digits than its factorization.

212201200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212201200200 its reverse (2002102212), we get a palindrome (214203302412).

The spelling of 212201200200 in words is "two hundred twelve billion, two hundred one million, two hundred thousand, two hundred".