122045505540221 has 32 divisors (see below), whose sum is σ = 124790825858400. Its totient is φ = 119331743698944.

The previous prime is 122045505540197. The next prime is 122045505540239.

122045505540221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 34385616405625 + 87659889134596 = 5863925^2 + 9362686^2 .

It is a cyclic number.

It is not a de Polignac number, because 122045505540221 - 2²² = 122045501345917 is a prime.

It is a super-2 number, since 2×122045505540221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122045505540241) 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, 33779545811 + ... + 33779549423.

It is an arithmetic number, because the mean of its divisors is an integer number (3899713308075).

Almost surely, 2^{122045505540221} is an apocalyptic number.

It is an amenable number.

122045505540221 is a deficient number, since it is larger than the sum of its proper divisors (2745320318179).

122045505540221 is a wasteful number, since it uses less digits than its factorization.

122045505540221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505.

The product of its (nonzero) digits is 160000, while the sum is 38.

It can be divided in two parts, 12204550 and 5540221, that added together give a palindrome (17744771).

The spelling of 122045505540221 in words is "one hundred twenty-two trillion, forty-five billion, five hundred five million, five hundred forty thousand, two hundred twenty-one".