2005041122120 has 32 divisors (see below), whose sum is σ = 4552730998200. Its totient is φ = 794658498048.

The previous prime is 2005041122111. The next prime is 2005041122143. The reversal of 2005041122120 is 212211405002.

It can be written as a sum of positive squares in 4 ways, for example, as 1743926254084 + 261114868036 = 1320578^2 + 510994^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2005041122092 and 2005041122101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229931549 + ... + 229940268.

Almost surely, 2^{2005041122120} is an apocalyptic number.

2005041122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005041122120 is an abundant number, since it is smaller than the sum of its proper divisors (2547689876080).

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

2005041122120 is a wasteful number, since it uses less digits than its factorization.

2005041122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459871937 (or 459871933 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 2005041122120 its reverse (212211405002), we get a palindrome (2217252527122).

The spelling of 2005041122120 in words is "two trillion, five billion, forty-one million, one hundred twenty-two thousand, one hundred twenty".