122441088 has 256 divisors, whose sum is σ = 419489280. Its totient is φ = 30720000.

The previous prime is 122441087. The next prime is 122441101. The reversal of 122441088 is 880144221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122441083) 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 31 ways as a sum of consecutive naturals, for example, 1212238 + ... + 1212338.

It is an arithmetic number, because the mean of its divisors is an integer number (1638630).

Almost surely, 2^122441088 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 122441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209744640).

122441088 is an abundant number, since it is smaller than the sum of its proper divisors (297048192).

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

122441088 is a wasteful number, since it uses less digits than its factorization.

122441088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 122441088 is about 11065.3101176605. The cubic root of 122441088 is about 496.5645669944.

The spelling of 122441088 in words is "one hundred twenty-two million, four hundred forty-one thousand, eighty-eight".