2005050004120 has 32 divisors (see below), whose sum is σ = 4512786386400. Its totient is φ = 801766867968.

The previous prime is 2005050004081. The next prime is 2005050004129. The reversal of 2005050004120 is 214000505002.

It is a super-2 number, since 2×2005050004120² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005050004129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7782084 + ... + 8035603.

It is an arithmetic number, because the mean of its divisors is an integer number (141024574575).

Almost surely, 2^{2005050004120} is an apocalyptic number.

2005050004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005050004120 is an abundant number, since it is smaller than the sum of its proper divisors (2507736382280).

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

2005050004120 is a wasteful number, since it uses less digits than its factorization.

2005050004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15820867 (or 15820863 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

Adding to 2005050004120 its reverse (214000505002), we get a palindrome (2219050509122).

The spelling of 2005050004120 in words is "two trillion, five billion, fifty million, four thousand, one hundred twenty".