12122361567 has 24 divisors (see below), whose sum is σ = 17850543984. Its totient is φ = 7925860224.

The previous prime is 12122361539. The next prime is 12122361569. The reversal of 12122361567 is 76516322121.

12122361567 is a `hidden beast` number, since 1 + 2 + 12 + 23 + 61 + 567 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-12122361567 is a prime.

It is a super-2 number, since 2×12122361567² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122361569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43113 + ... + 161565.

It is an arithmetic number, because the mean of its divisors is an integer number (743772666).

Almost surely, 2^12122361567 is an apocalyptic number.

12122361567 is a deficient number, since it is larger than the sum of its proper divisors (5728182417).

12122361567 is a wasteful number, since it uses less digits than its factorization.

12122361567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118679 (or 118676 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 12122361567 its reverse (76516322121), we get a palindrome (88638683688).

The spelling of 12122361567 in words is "twelve billion, one hundred twenty-two million, three hundred sixty-one thousand, five hundred sixty-seven".