3220002301200 has 240 divisors, whose sum is σ = 10642404913920. Its totient is φ = 831800586240.

The previous prime is 3220002301169. The next prime is 3220002301247. The reversal of 3220002301200 is 21032000223.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3220002301200.

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 47 ways as a sum of consecutive naturals, for example, 4703964 + ... + 5344836.

It is an arithmetic number, because the mean of its divisors is an integer number (44343353808).

Almost surely, 2^{3220002301200} is an apocalyptic number.

3220002301200 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 3220002301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321202456960).

3220002301200 is an abundant number, since it is smaller than the sum of its proper divisors (7422402612720).

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

3220002301200 is a wasteful number, since it uses less digits than its factorization.

3220002301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641026 (or 641015 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 3220002301200 its reverse (21032000223), we get a palindrome (3241034301423).

The spelling of 3220002301200 in words is "three trillion, two hundred twenty billion, two million, three hundred one thousand, two hundred".