411122142222001 has 24 divisors (see below), whose sum is σ = 486092998599336. Its totient is φ = 346607236120320.

The previous prime is 411122142221983. The next prime is 411122142222013. The reversal of 411122142222001 is 100222241221114.

It can be written as a sum of positive squares in 4 ways, for example, as 21587183732401 + 389534958489600 = 4646201^2 + 19736640^2 .

It is not a de Polignac number, because 411122142222001 - 2⁷ = 411122142221873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411122142262001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167592045 + ... + 170027461.

It is an arithmetic number, because the mean of its divisors is an integer number (20253874941639).

Almost surely, 2^{411122142222001} is an apocalyptic number.

It is an amenable number.

411122142222001 is a deficient number, since it is larger than the sum of its proper divisors (74970856377335).

411122142222001 is a wasteful number, since it uses less digits than its factorization.

411122142222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491969 (or 2491962 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 411122142222001 its reverse (100222241221114), we get a palindrome (511344383443115).

The spelling of 411122142222001 in words is "four hundred eleven trillion, one hundred twenty-two billion, one hundred forty-two million, two hundred twenty-two thousand, one".