122544144 has 80 divisors (see below), whose sum is σ = 353221440. Its totient is φ = 40677120.

The previous prime is 122544137. The next prime is 122544173. The reversal of 122544144 is 441445221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142564 + ... + 143420.

It is an arithmetic number, because the mean of its divisors is an integer number (4415268).

Almost surely, 2^122544144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122544144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176610720).

122544144 is an abundant number, since it is smaller than the sum of its proper divisors (230677296).

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

122544144 is a wasteful number, since it uses less digits than its factorization.

122544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1193 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 122544144 is about 11069.9658536059. The cubic root of 122544144 is about 496.7038437906.

Adding to 122544144 its reverse (441445221), we get a palindrome (563989365).

It can be divided in two parts, 1225 and 44144, that added together give a square (45369 = 213²).

The spelling of 122544144 in words is "one hundred twenty-two million, five hundred forty-four thousand, one hundred forty-four".