122518240 has 144 divisors (see below), whose sum is σ = 328714848. Its totient is φ = 43051008.

The previous prime is 122518219. The next prime is 122518241. The reversal of 122518240 is 42815221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122518241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621822 + ... + 622018.

It is an arithmetic number, because the mean of its divisors is an integer number (2282742).

Almost surely, 2^122518240 is an apocalyptic number.

122518240 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 122518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164357424).

122518240 is an abundant number, since it is smaller than the sum of its proper divisors (206196608).

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

122518240 is a wasteful number, since it uses less digits than its factorization.

122518240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 122518240 is about 11068.7957791261. The cubic root of 122518240 is about 496.6688427353.

The spelling of 122518240 in words is "one hundred twenty-two million, five hundred eighteen thousand, two hundred forty".