122688000 has 320 divisors, whose sum is σ = 459613440. Its totient is φ = 32256000.

The previous prime is 122687993. The next prime is 122688011. The reversal of 122688000 is 886221.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727965 + ... + 1728035.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^122688000 is an apocalyptic number.

122688000 is a gapful number since it is divisible by the number (10) 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 122688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229806720).

122688000 is an abundant number, since it is smaller than the sum of its proper divisors (336925440).

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

122688000 is an frugal number, since it uses more digits than its factorization.

122688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 122688000 is about 11076.4615288458. The cubic root of 122688000 is about 496.8981299307.

The spelling of 122688000 in words is "one hundred twenty-two million, six hundred eighty-eight thousand".