122144113 has 12 divisors (see below), whose sum is σ = 153016500. Its totient is φ = 96640992.

The previous prime is 122144093. The next prime is 122144129. The reversal of 122144113 is 311441221.

It can be written as a sum of positive squares in 2 ways, for example, as 9529569 + 112614544 = 3087^2 + 10612^2 .

It is not a de Polignac number, because 122144113 - 2⁵ = 122144081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122144153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95238 + ... + 96511.

It is an arithmetic number, because the mean of its divisors is an integer number (12751375).

Almost surely, 2^122144113 is an apocalyptic number.

122144113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122144113 is a deficient number, since it is larger than the sum of its proper divisors (30872387).

122144113 is a wasteful number, since it uses less digits than its factorization.

122144113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191776 (or 191769 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 122144113 is about 11051.8827807754. The cubic root of 122144113 is about 496.1627774466.

Adding to 122144113 its reverse (311441221), we get a palindrome (433585334).

The spelling of 122144113 in words is "one hundred twenty-two million, one hundred forty-four thousand, one hundred thirteen".