330012100 has 72 divisors (see below), whose sum is σ = 799511328. Its totient is φ = 117196800.

The previous prime is 330012091. The next prime is 330012107. The reversal of 330012100 is 1210033.

It is a super-2 number, since 2×330012100² = 217815972292820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (330012107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43812 + ... + 50788.

It is an arithmetic number, because the mean of its divisors is an integer number (11104324).

Almost surely, 2^330012100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399755664).

330012100 is an abundant number, since it is smaller than the sum of its proper divisors (469499228).

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

330012100 is a wasteful number, since it uses less digits than its factorization.

330012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 330012100 is about 18166.2351630711. The cubic root of 330012100 is about 691.0507689707.

Adding to 330012100 its reverse (1210033), we get a palindrome (331222133).

It can be divided in two parts, 3300 and 12100, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 330012100 in words is "three hundred thirty million, twelve thousand, one hundred".