122068128 has 192 divisors, whose sum is σ = 401345280. Its totient is φ = 31629312.

The previous prime is 122068127. The next prime is 122068129. The reversal of 122068128 is 821860221.

It is an interprime number because it is at equal distance from previous prime (122068127) and next prime (122068129).

It is a junction number, because it is equal to n+sod(n) for n = 122068095 and 122068104.

It is not an unprimeable number, because it can be changed into a prime (122068123) 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, 777426 + ... + 777582.

It is an arithmetic number, because the mean of its divisors is an integer number (2090340).

Almost surely, 2^122068128 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 122068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200672640).

122068128 is an abundant number, since it is smaller than the sum of its proper divisors (279277152).

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

122068128 is a wasteful number, since it uses less digits than its factorization.

122068128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 122068128 is about 11048.4445964127. Note that the first 3 decimals coincide. The cubic root of 122068128 is about 496.0598696375.

The spelling of 122068128 in words is "one hundred twenty-two million, sixty-eight thousand, one hundred twenty-eight".