122398848 has 192 divisors, whose sum is σ = 414348480. Its totient is φ = 34191360.

The previous prime is 122398799. The next prime is 122398873. The reversal of 122398848 is 848893221.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 164365 + ... + 165107.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2^122398848 is an apocalyptic number.

122398848 is a gapful number since it is divisible by the number (18) 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 122398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

122398848 is an abundant number, since it is smaller than the sum of its proper divisors (291949632).

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

122398848 is a wasteful number, since it uses less digits than its factorization.

122398848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 772 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 122398848 is about 11063.4012853191. The cubic root of 122398848 is about 496.5074584422.

The spelling of 122398848 in words is "one hundred twenty-two million, three hundred ninety-eight thousand, eight hundred forty-eight".