122705000 has 160 divisors (see below), whose sum is σ = 330644160. Its totient is φ = 42240000.

The previous prime is 122704999. The next prime is 122705027. The reversal of 122705000 is 507221.

It is a self number, because there is not a number n which added to its sum of digits gives 122705000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1264952 + ... + 1265048.

It is an arithmetic number, because the mean of its divisors is an integer number (2066526).

Almost surely, 2^122705000 is an apocalyptic number.

122705000 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 122705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322080).

122705000 is an abundant number, since it is smaller than the sum of its proper divisors (207939160).

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

122705000 is a wasteful number, since it uses less digits than its factorization.

122705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 122705000 is about 11077.2288953510. The cubic root of 122705000 is about 496.9210794126.

The spelling of 122705000 in words is "one hundred twenty-two million, seven hundred five thousand".