23205330105012 has 120 divisors (see below), whose sum is σ = 66185050932000. Its totient is φ = 7031186389440.

The previous prime is 23205330105011. The next prime is 23205330105043. The reversal of 23205330105012 is 21050103350232.

It is a happy number.

23205330105012 is a `hidden beast` number, since 2 + 3 + 20 + 533 + 0 + 105 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23205330105011) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 34411503 + ... + 35079369.

It is an arithmetic number, because the mean of its divisors is an integer number (551542091100).

Almost surely, 2^{23205330105012} is an apocalyptic number.

23205330105012 is a gapful number since it is divisible by the number (22) 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 23205330105012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33092525466000).

23205330105012 is an abundant number, since it is smaller than the sum of its proper divisors (42979720826988).

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

23205330105012 is a wasteful number, since it uses less digits than its factorization.

23205330105012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677643 (or 677632 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 23205330105012 its reverse (21050103350232), we get a palindrome (44255433455244).

The spelling of 23205330105012 in words is "twenty-three trillion, two hundred five billion, three hundred thirty million, one hundred five thousand, twelve".