330100020023200 has 288 divisors, whose sum is σ = 926244824537088. Its totient is φ = 112531095936000.

The previous prime is 330100020023197. The next prime is 330100020023251. The reversal of 330100020023200 is 2320020001033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1218094117 + ... + 1218365083.

It is an arithmetic number, because the mean of its divisors is an integer number (3216127862976).

Almost surely, 2^{330100020023200} 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 330100020023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463122412268544).

330100020023200 is an abundant number, since it is smaller than the sum of its proper divisors (596144804513888).

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

330100020023200 is a wasteful number, since it uses less digits than its factorization.

330100020023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272236 (or 272223 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 330100020023200 its reverse (2320020001033), we get a palindrome (332420040024233).

The spelling of 330100020023200 in words is "three hundred thirty trillion, one hundred billion, twenty million, twenty-three thousand, two hundred".