330012405000 has 120 divisors (see below), whose sum is σ = 1116872134950. Its totient is φ = 88003296000.

The previous prime is 330012404963. The next prime is 330012405013. The reversal of 330012405000 is 504210033.

It can be written as a sum of positive squares in 5 ways, for example, as 7863078276 + 322149326724 = 88674^2 + 567582^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3621805 + ... + 3711804.

Almost surely, 2^330012405000 is an apocalyptic number.

330012405000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330012405000 is an abundant number, since it is smaller than the sum of its proper divisors (786859729950).

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

330012405000 is a wasteful number, since it uses less digits than its factorization.

330012405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333641 (or 7333619 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 330012405000 its reverse (504210033), we get a palindrome (330516615033).

The spelling of 330012405000 in words is "three hundred thirty billion, twelve million, four hundred five thousand".