122544240 has 320 divisors, whose sum is σ = 485302272. Its totient is φ = 24883200.

The previous prime is 122544199. The next prime is 122544241. The reversal of 122544240 is 42445221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 122544240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122544241) 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 63 ways as a sum of consecutive naturals, for example, 676950 + ... + 677130.

Almost surely, 2^122544240 is an apocalyptic number.

122544240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242651136).

122544240 is an abundant number, since it is smaller than the sum of its proper divisors (362758032).

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

122544240 is a wasteful number, since it uses less digits than its factorization.

122544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 122544240 is about 11069.9701896618. The cubic root of 122544240 is about 496.7039734950.

Adding to 122544240 its reverse (42445221), we get a palindrome (164989461).

The spelling of 122544240 in words is "one hundred twenty-two million, five hundred forty-four thousand, two hundred forty".