3001223320200 has 576 divisors, whose sum is σ = 11680202002560. Its totient is φ = 676444815360.

The previous prime is 3001223320187. The next prime is 3001223320231. The reversal of 3001223320200 is 20233221003.

It is a happy number.

3001223320200 is a `hidden beast` number, since 300 + 1 + 2 + 23 + 320 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 345878262 + ... + 345886938.

Almost surely, 2^{3001223320200} is an apocalyptic number.

3001223320200 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 3001223320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840101001280).

3001223320200 is an abundant number, since it is smaller than the sum of its proper divisors (8678978682360).

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

3001223320200 is a wasteful number, since it uses less digits than its factorization.

3001223320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9086 (or 9074 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3001223320200 its reverse (20233221003), we get a palindrome (3021456541203).

The spelling of 3001223320200 in words is "three trillion, one billion, two hundred twenty-three million, three hundred twenty thousand, two hundred".