330031230132120 has 256 divisors, whose sum is σ = 1082123559590400. Its totient is φ = 79857868554240.

The previous prime is 330031230132083. The next prime is 330031230132139. The reversal of 330031230132120 is 21231032130033.

It is a super-2 number, since 2×330031230132120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14753944296 + ... + 14753966664.

It is an arithmetic number, because the mean of its divisors is an integer number (4227045154650).

Almost surely, 2^{330031230132120} is an apocalyptic number.

330031230132120 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 330031230132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541061779795200).

330031230132120 is an abundant number, since it is smaller than the sum of its proper divisors (752092329458280).

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

330031230132120 is a wasteful number, since it uses less digits than its factorization.

330031230132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42810 (or 42806 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 330031230132120 its reverse (21231032130033), we get a palindrome (351262262262153).

The spelling of 330031230132120 in words is "three hundred thirty trillion, thirty-one billion, two hundred thirty million, one hundred thirty-two thousand, one hundred twenty".