2005043124120 has 128 divisors (see below), whose sum is σ = 6394406112000. Its totient is φ = 501521932800.

The previous prime is 2005043124113. The next prime is 2005043124121. The reversal of 2005043124120 is 214213405002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005043124121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4123210 + ... + 4583769.

It is an arithmetic number, because the mean of its divisors is an integer number (49956297750).

Almost surely, 2^{2005043124120} is an apocalyptic number.

2005043124120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005043124120 is an abundant number, since it is smaller than the sum of its proper divisors (4389362987880).

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

2005043124120 is a wasteful number, since it uses less digits than its factorization.

2005043124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707113 (or 8707109 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2005043124120 its reverse (214213405002), we get a palindrome (2219256529122).

The spelling of 2005043124120 in words is "two trillion, five billion, forty-three million, one hundred twenty-four thousand, one hundred twenty".