330230122210200 has 192 divisors, whose sum is σ = 1029207772692000. Its totient is φ = 87588988784640.

The previous prime is 330230122210171. The next prime is 330230122210207. The reversal of 330230122210200 is 2012221032033.

It is a happy number.

It is a super-2 number, since 2×330230122210200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330230122210207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409633116 + ... + 410438484.

Almost surely, 2^{330230122210200} is an apocalyptic number.

330230122210200 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 330230122210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514603886346000).

330230122210200 is an abundant number, since it is smaller than the sum of its proper divisors (698977650481800).

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

330230122210200 is a wasteful number, since it uses less digits than its factorization.

330230122210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809054 (or 809045 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 330230122210200 its reverse (2012221032033), we get a palindrome (332242343242233).

The spelling of 330230122210200 in words is "three hundred thirty trillion, two hundred thirty billion, one hundred twenty-two million, two hundred ten thousand, two hundred".