200212201000020 has 192 divisors, whose sum is σ = 617064231168000. Its totient is φ = 48100714851840.

The previous prime is 200212201000013. The next prime is 200212201000037. The reversal of 200212201000020 is 20000102212002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40852447 + ... + 45490073.

It is an arithmetic number, because the mean of its divisors is an integer number (3213876204000).

Almost surely, 2^{200212201000020} is an apocalyptic number.

200212201000020 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 200212201000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308532115584000).

200212201000020 is an abundant number, since it is smaller than the sum of its proper divisors (416852030167980).

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

200212201000020 is a wasteful number, since it uses less digits than its factorization.

200212201000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638238 (or 4638236 counting only the distinct ones).

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

Adding to 200212201000020 its reverse (20000102212002), we get a palindrome (220212303212022).

The spelling of 200212201000020 in words is "two hundred trillion, two hundred twelve billion, two hundred one million, twenty", and thus it is an aban number.