122688768 has 72 divisors (see below), whose sum is σ = 329803488. Its totient is φ = 40486912.

The previous prime is 122688737. The next prime is 122688809. The reversal of 122688768 is 867886221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81430 + ... + 82922.

It is an arithmetic number, because the mean of its divisors is an integer number (4580604).

Almost surely, 2^122688768 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 122688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164901744).

122688768 is an abundant number, since it is smaller than the sum of its proper divisors (207114720).

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

122688768 is a wasteful number, since it uses less digits than its factorization.

122688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1605 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 122688768 is about 11076.4961969027. The cubic root of 122688768 is about 496.8991667531.

The spelling of 122688768 in words is "one hundred twenty-two million, six hundred eighty-eight thousand, seven hundred sixty-eight".