122541167 has 8 divisors (see below), whose sum is σ = 141491616. Its totient is φ = 103951872.

The previous prime is 122541137. The next prime is 122541193. The reversal of 122541167 is 761145221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122541167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122541137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89558 + ... + 90915.

It is an arithmetic number, because the mean of its divisors is an integer number (17686452).

Almost surely, 2^122541167 is an apocalyptic number.

122541167 is a deficient number, since it is larger than the sum of its proper divisors (18950449).

122541167 is an equidigital number, since it uses as much as digits as its factorization.

122541167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180577.

The product of its digits is 3360, while the sum is 29.

The square root of 122541167 is about 11069.8313898632. The cubic root of 122541167 is about 496.6998215684.

Adding to 122541167 its reverse (761145221), we get a palindrome (883686388).

The spelling of 122541167 in words is "one hundred twenty-two million, five hundred forty-one thousand, one hundred sixty-seven".