330032120023100 has 432 divisors, whose sum is σ = 843786390214656. Its totient is φ = 110996014272000.

The previous prime is 330032120023093. The next prime is 330032120023103. The reversal of 330032120023100 is 1320021230033.

It is a super-2 number, since 2×330032120023100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330032120023103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23035668137 + ... + 23035682463.

It is an arithmetic number, because the mean of its divisors is an integer number (1953209236608).

Almost surely, 2^{330032120023100} 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 330032120023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421893195107328).

330032120023100 is an abundant number, since it is smaller than the sum of its proper divisors (513754270191556).

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

330032120023100 is a wasteful number, since it uses less digits than its factorization.

330032120023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15706 (or 15676 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 330032120023100 its reverse (1320021230033), we get a palindrome (331352141253133).

The spelling of 330032120023100 in words is "three hundred thirty trillion, thirty-two billion, one hundred twenty million, twenty-three thousand, one hundred".