330112010130000 has 600 divisors, whose sum is σ = 1244346096937152. Its totient is φ = 73848662016000.

The previous prime is 330112010129983. The next prime is 330112010130043. The reversal of 330112010130000 is 31010211033.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 463534192 + ... + 464245808.

Almost surely, 2^{330112010130000} is an apocalyptic number.

330112010130000 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 330112010130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622173048468576).

330112010130000 is an abundant number, since it is smaller than the sum of its proper divisors (914234086807152).

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

330112010130000 is an equidigital number, since it uses as much as digits as its factorization.

330112010130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711749 (or 711681 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 330112010130000 its reverse (31010211033), we get a palindrome (330143020341033).

The spelling of 330112010130000 in words is "three hundred thirty trillion, one hundred twelve billion, ten million, one hundred thirty thousand".