122244288 has 112 divisors (see below), whose sum is σ = 338730336. Its totient is φ = 38871040.

The previous prime is 122244281. The next prime is 122244289. The reversal of 122244288 is 882442221.

It is a super-3 number, since 3×122244288³ (a number of 25 digits) contains 333 as substring.

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 (122244281) 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 15 ways as a sum of consecutive naturals, for example, 417070 + ... + 417362.

It is an arithmetic number, because the mean of its divisors is an integer number (3024378).

Almost surely, 2^122244288 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 122244288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169365168).

122244288 is an abundant number, since it is smaller than the sum of its proper divisors (216486048).

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

122244288 is a wasteful number, since it uses less digits than its factorization.

122244288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 122244288 is about 11056.4138851619. The cubic root of 122244288 is about 496.2983809928.

The spelling of 122244288 in words is "one hundred twenty-two million, two hundred forty-four thousand, two hundred eighty-eight".