200212121200000 has 768 divisors, whose sum is σ = 649687261104000. Its totient is φ = 59636367360000.

The previous prime is 200212121199947. The next prime is 200212121200001. The reversal of 200212121200000 is 2121212002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212121200001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 618638226 + ... + 618961774.

Almost surely, 2^{200212121200000} is an apocalyptic number.

200212121200000 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 200212121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324843630552000).

200212121200000 is an abundant number, since it is smaller than the sum of its proper divisors (449475139904000).

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

200212121200000 is an equidigital number, since it uses as much as digits as its factorization.

200212121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323625 (or 323593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200212121200000 its reverse (2121212002), we get a palindrome (200214242412002).

The spelling of 200212121200000 in words is "two hundred trillion, two hundred twelve billion, one hundred twenty-one million, two hundred thousand".