330031122231120 has 320 divisors, whose sum is σ = 1133635379834880. Its totient is φ = 79001641590784.

The previous prime is 330031122231089. The next prime is 330031122231121. The reversal of 330031122231120 is 21132221130033.

It is a super-2 number, since 2×330031122231120² (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 not an unprimeable number, because it can be changed into a prime (330031122231121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27494821 + ... + 37630139.

It is an arithmetic number, because the mean of its divisors is an integer number (3542610561984).

Almost surely, 2^{330031122231120} is an apocalyptic number.

330031122231120 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 330031122231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566817689917440).

330031122231120 is an abundant number, since it is smaller than the sum of its proper divisors (803604257603760).

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

330031122231120 is a wasteful number, since it uses less digits than its factorization.

330031122231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10135722 (or 10135716 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 330031122231120 its reverse (21132221130033), we get a palindrome (351163343361153).

The spelling of 330031122231120 in words is "three hundred thirty trillion, thirty-one billion, one hundred twenty-two million, two hundred thirty-one thousand, one hundred twenty".