122585900 has 72 divisors (see below), whose sum is σ = 282169440. Its totient is φ = 46144000.

The previous prime is 122585899. The next prime is 122585933. The reversal of 122585900 is 9585221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118385 + ... + 119415.

It is an arithmetic number, because the mean of its divisors is an integer number (3919020).

Almost surely, 2^122585900 is an apocalyptic number.

122585900 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 122585900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141084720).

122585900 is an abundant number, since it is smaller than the sum of its proper divisors (159583540).

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

122585900 is a wasteful number, since it uses less digits than its factorization.

122585900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 122585900 is about 11071.8516969837. The cubic root of 122585900 is about 496.7602534232.

The spelling of 122585900 in words is "one hundred twenty-two million, five hundred eighty-five thousand, nine hundred".