122688048 has 160 divisors (see below), whose sum is σ = 392546304. Its totient is φ = 32219136.

The previous prime is 122688043. The next prime is 122688079. The reversal of 122688048 is 840886221.

122688048 = T₅₇ + T₅₈ + ... + T₉₀₂.

It is a junction number, because it is equal to n+sod(n) for n = 122687997 and 122688015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122688043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268236 + ... + 268692.

Almost surely, 2^122688048 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 122688048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196273152).

122688048 is an abundant number, since it is smaller than the sum of its proper divisors (269858256).

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

122688048 is a wasteful number, since it uses less digits than its factorization.

122688048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 122688048 is about 11076.4636956025. The cubic root of 122688048 is about 496.8981947323.

The spelling of 122688048 in words is "one hundred twenty-two million, six hundred eighty-eight thousand, forty-eight".