122541627 has 16 divisors (see below), whose sum is σ = 186308640. Its totient is φ = 70973952.

The previous prime is 122541599. The next prime is 122541641. The reversal of 122541627 is 726145221.

It is not a de Polignac number, because 122541627 - 2⁶ = 122541563 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122541594 and 122541603.

It is not an unprimeable number, because it can be changed into a prime (122541647) 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 15 ways as a sum of consecutive naturals, for example, 91752 + ... + 93077.

It is an arithmetic number, because the mean of its divisors is an integer number (11644290).

Almost surely, 2^122541627 is an apocalyptic number.

122541627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

122541627 is a deficient number, since it is larger than the sum of its proper divisors (63767013).

122541627 is a wasteful number, since it uses less digits than its factorization.

122541627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184862.

The product of its digits is 6720, while the sum is 30.

The square root of 122541627 is about 11069.8521670346. The cubic root of 122541627 is about 496.7004430783.

Adding to 122541627 its reverse (726145221), we get a palindrome (848686848).

The spelling of 122541627 in words is "one hundred twenty-two million, five hundred forty-one thousand, six hundred twenty-seven".