122242464 has 72 divisors (see below), whose sum is σ = 355747392. Its totient is φ = 39795840.

The previous prime is 122242457. The next prime is 122242469. The reversal of 122242464 is 464242221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122242469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7449 + ... + 17319.

It is an arithmetic number, because the mean of its divisors is an integer number (4940936).

Almost surely, 2^122242464 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 122242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177873696).

122242464 is an abundant number, since it is smaller than the sum of its proper divisors (233504928).

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

122242464 is a wasteful number, since it uses less digits than its factorization.

122242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930 (or 9919 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 122242464 is about 11056.3313987959. The cubic root of 122242464 is about 496.2959125673.

Adding to 122242464 its reverse (464242221), we get a palindrome (586484685).

The spelling of 122242464 in words is "one hundred twenty-two million, two hundred forty-two thousand, four hundred sixty-four".