122809000 has 64 divisors (see below), whose sum is σ = 289935360. Its totient is φ = 48686400.

The previous prime is 122808971. The next prime is 122809007. The reversal of 122809000 is 908221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122809007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126517 + ... + 127483.

It is an arithmetic number, because the mean of its divisors is an integer number (4530240).

Almost surely, 2^122809000 is an apocalyptic number.

122809000 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 122809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144967680).

122809000 is an abundant number, since it is smaller than the sum of its proper divisors (167126360).

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

122809000 is a wasteful number, since it uses less digits than its factorization.

122809000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 122809000 is about 11081.9222159335. The cubic root of 122809000 is about 497.0614301142.

The spelling of 122809000 in words is "one hundred twenty-two million, eight hundred nine thousand".