330112424110105 has 48 divisors (see below), whose sum is σ = 497470262945040. Its totient is φ = 208439399927808.

The previous prime is 330112424110099. The next prime is 330112424110123. The reversal of 330112424110105 is 501011424211033.

It can be written as a sum of positive squares in 8 ways, for example, as 13039414886169 + 317073009223936 = 3611013^2 + 17806544^2 .

It is not a de Polignac number, because 330112424110105 - 2¹⁷ = 330112423979033 is a prime.

It is a super-2 number, since 2×330112424110105² (a number of 30 digits) contains 22 as substring.

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, 125403904 + ... + 128009233.

It is an arithmetic number, because the mean of its divisors is an integer number (10363963811355).

Almost surely, 2^{330112424110105} is an apocalyptic number.

330112424110105 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

330112424110105 is a deficient number, since it is larger than the sum of its proper divisors (167357838834935).

330112424110105 is a wasteful number, since it uses less digits than its factorization.

330112424110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253413578 (or 253413571 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 330112424110105 its reverse (501011424211033), we get a palindrome (831123848321138).

The spelling of 330112424110105 in words is "three hundred thirty trillion, one hundred twelve billion, four hundred twenty-four million, one hundred ten thousand, one hundred five".