330002112 has 224 divisors, whose sum is σ = 1011838464. Its totient is φ = 94003200.

The previous prime is 330002111. The next prime is 330002119. The reversal of 330002112 is 211200033.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330002111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3203853 + ... + 3203955.

It is an arithmetic number, because the mean of its divisors is an integer number (4517136).

Almost surely, 2^330002112 is an apocalyptic number.

330002112 is a gapful number since it is divisible by the number (32) 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 330002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505919232).

330002112 is an abundant number, since it is smaller than the sum of its proper divisors (681836352).

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

330002112 is a wasteful number, since it uses less digits than its factorization.

330002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 330002112 is about 18165.9602553787. The cubic root of 330002112 is about 691.0437972216.

Adding to 330002112 its reverse (211200033), we get a palindrome (541202145).

It can be divided in two parts, 3300021 and 12, that added together give a palindrome (3300033).

The spelling of 330002112 in words is "three hundred thirty million, two thousand, one hundred twelve".