122416262541 has 36 divisors (see below), whose sum is σ = 182760453876. Its totient is φ = 78912691200.

The previous prime is 122416262539. The next prime is 122416262581. The reversal of 122416262541 is 145262614221.

122416262541 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 1 + 626 + 25 + 4 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 77056208100 + 45360054441 = 277590^2 + 212979^2 .

It is not a de Polignac number, because 122416262541 - 2¹ = 122416262539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122416262496 and 122416262505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122416262581) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4698771 + ... + 4724751.

Almost surely, 2^122416262541 is an apocalyptic number.

It is an amenable number.

122416262541 is a deficient number, since it is larger than the sum of its proper divisors (60344191335).

122416262541 is a wasteful number, since it uses less digits than its factorization.

122416262541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26254 (or 26138 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 122416262541 its reverse (145262614221), we get a palindrome (267678876762).

The spelling of 122416262541 in words is "one hundred twenty-two billion, four hundred sixteen million, two hundred sixty-two thousand, five hundred forty-one".