122336144 has 30 divisors (see below), whose sum is σ = 275726214. Its totient is φ = 52429440.

The previous prime is 122336141. The next prime is 122336189. The reversal of 122336144 is 441633221.

It can be written as a sum of positive squares in only one way, i.e., 122323600 + 12544 = 11060^2 + 112^2 .

It is a super-2 number, since 2×122336144² = 29932264257577472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (122336141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77237 + ... + 78804.

Almost surely, 2^122336144 is an apocalyptic number.

122336144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122336144 is an abundant number, since it is smaller than the sum of its proper divisors (153390070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122336144 is a wasteful number, since it uses less digits than its factorization.

122336144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156063 (or 156050 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 122336144 is about 11060.5670740699. The cubic root of 122336144 is about 496.4226582934.

Adding to 122336144 its reverse (441633221), we get a palindrome (563969365).

The spelling of 122336144 in words is "one hundred twenty-two million, three hundred thirty-six thousand, one hundred forty-four".