8122135451105 has 32 divisors (see below), whose sum is σ = 10913357901600. Its totient is φ = 5761664520192.

The previous prime is 8122135451077. The next prime is 8122135451107. The reversal of 8122135451105 is 5011545312218.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 538010514064 + 7584124937041 = 733492^2 + 2753929^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8122135451105 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8122135451107) 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, 10564760 + ... + 11307449.

It is an arithmetic number, because the mean of its divisors is an integer number (341042434425).

Almost surely, 2^{8122135451105} is an apocalyptic number.

It is an amenable number.

8122135451105 is a deficient number, since it is larger than the sum of its proper divisors (2791222450495).

8122135451105 is a wasteful number, since it uses less digits than its factorization.

8122135451105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21872453.

The product of its (nonzero) digits is 48000, while the sum is 38.

The spelling of 8122135451105 in words is "eight trillion, one hundred twenty-two billion, one hundred thirty-five million, four hundred fifty-one thousand, one hundred five".