330100012122112 has 64 divisors (see below), whose sum is σ = 660207605192640. Its totient is φ = 165045592326144.

The previous prime is 330100012122107. The next prime is 330100012122149. The reversal of 330100012122112 is 211221210001033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 330100012122112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1470089593 + ... + 1470314119.

It is an arithmetic number, because the mean of its divisors is an integer number (10315743831135).

Almost surely, 2^{330100012122112} is an apocalyptic number.

330100012122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330100012122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330103802596320).

330100012122112 is an abundant number, since it is smaller than the sum of its proper divisors (330107593070528).

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

330100012122112 is an frugal number, since it uses more digits than its factorization.

330100012122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269424 (or 269396 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 330100012122112 its reverse (211221210001033), we get a palindrome (541321222123145).

The spelling of 330100012122112 in words is "three hundred thirty trillion, one hundred billion, twelve million, one hundred twenty-two thousand, one hundred twelve".