330032133001120 has 192 divisors, whose sum is σ = 863633071437696. Its totient is φ = 118171852001280.

The previous prime is 330032133001073. The next prime is 330032133001163. The reversal of 330032133001120 is 21100331230033.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 330032133001091 and 330032133001100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286796814 + ... + 287945266.

It is an arithmetic number, because the mean of its divisors is an integer number (4498088913738).

Almost surely, 2^{330032133001120} 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 330032133001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431816535718848).

330032133001120 is an abundant number, since it is smaller than the sum of its proper divisors (533600938436576).

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

330032133001120 is a wasteful number, since it uses less digits than its factorization.

330032133001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150983 (or 1150975 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 330032133001120 its reverse (21100331230033), we get a palindrome (351132464231153).

The spelling of 330032133001120 in words is "three hundred thirty trillion, thirty-two billion, one hundred thirty-three million, one thousand, one hundred twenty".