2820123220041 has 48 divisors (see below), whose sum is σ = 4213765570560. Its totient is φ = 1816390124640.

The previous prime is 2820123220021. The next prime is 2820123220069. The reversal of 2820123220041 is 1400223210282.

2820123220041 is a `hidden beast` number, since 28 + 201 + 232 + 200 + 4 + 1 = 666.

It is not a de Polignac number, because 2820123220041 - 2¹¹ = 2820123217993 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2820123219987 and 2820123220014.

It is not an unprimeable number, because it can be changed into a prime (2820123220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273713496 + ... + 273723798.

It is an arithmetic number, because the mean of its divisors is an integer number (87786782720).

Almost surely, 2^{2820123220041} is an apocalyptic number.

It is an amenable number.

2820123220041 is a deficient number, since it is larger than the sum of its proper divisors (1393642350519).

2820123220041 is a wasteful number, since it uses less digits than its factorization.

2820123220041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18626 (or 18623 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

It can be divided in two parts, 282012 and 3220041, that added together give a palindrome (3502053).

The spelling of 2820123220041 in words is "two trillion, eight hundred twenty billion, one hundred twenty-three million, two hundred twenty thousand, forty-one".