122689000 has 128 divisors (see below), whose sum is σ = 347742720. Its totient is φ = 39552000.

The previous prime is 122688997. The next prime is 122689027. The reversal of 122689000 is 986221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 122689000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118485 + ... + 119515.

It is an arithmetic number, because the mean of its divisors is an integer number (2716740).

Almost surely, 2^122689000 is an apocalyptic number.

122689000 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 122689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173871360).

122689000 is an abundant number, since it is smaller than the sum of its proper divisors (225053720).

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

122689000 is a wasteful number, since it uses less digits than its factorization.

122689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 122689000 is about 11076.5066695236. The cubic root of 122689000 is about 496.8994799589.

The spelling of 122689000 in words is "one hundred twenty-two million, six hundred eighty-nine thousand".