330101002230120 has 256 divisors, whose sum is σ = 1263544507008000. Its totient is φ = 75812670316800.

The previous prime is 330101002230119. The next prime is 330101002230133. The reversal of 330101002230120 is 21032200101033.

330101002230120 is a `hidden beast` number, since 3 + 301 + 0 + 10 + 0 + 2 + 230 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330101002230093 and 330101002230102.

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, 730992166 + ... + 731443605.

It is an arithmetic number, because the mean of its divisors is an integer number (4935720730500).

Almost surely, 2^{330101002230120} is an apocalyptic number.

330101002230120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330101002230120 is an abundant number, since it is smaller than the sum of its proper divisors (933443504777880).

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

330101002230120 is a wasteful number, since it uses less digits than its factorization.

330101002230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462435821 (or 1462435811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330101002230120 its reverse (21032200101033), we get a palindrome (351133202331153).

The spelling of 330101002230120 in words is "three hundred thirty trillion, one hundred one billion, two million, two hundred thirty thousand, one hundred twenty".