3200211010200 has 192 divisors, whose sum is σ = 10320089472000. Its totient is φ = 819358435840.

The previous prime is 3200211010181. The next prime is 3200211010273. The reversal of 3200211010200 is 20101120023.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2600857 + ... + 3628343.

It is an arithmetic number, because the mean of its divisors is an integer number (53750466000).

Almost surely, 2^{3200211010200} is an apocalyptic number.

3200211010200 is a gapful number since it is divisible by the number (30) 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 3200211010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160044736000).

3200211010200 is an abundant number, since it is smaller than the sum of its proper divisors (7119878461800).

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

3200211010200 is a wasteful number, since it uses less digits than its factorization.

3200211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027714 (or 1027705 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 3200211010200 its reverse (20101120023), we get a palindrome (3220312130223).

The spelling of 3200211010200 in words is "three trillion, two hundred billion, two hundred eleven million, ten thousand, two hundred".