122588360 has 64 divisors (see below), whose sum is σ = 299239920. Its totient is φ = 45015040.

The previous prime is 122588357. The next prime is 122588381. The reversal of 122588360 is 63885221.

It can be written as a sum of positive squares in 8 ways, for example, as 35688676 + 86899684 = 5974^2 + 9322^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 122588360.

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 15 ways as a sum of consecutive naturals, for example, 25682 + ... + 30078.

Almost surely, 2^122588360 is an apocalyptic number.

122588360 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 122588360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149619960).

122588360 is an abundant number, since it is smaller than the sum of its proper divisors (176651560).

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

122588360 is a wasteful number, since it uses less digits than its factorization.

122588360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 122588360 is about 11071.9627889548. The cubic root of 122588360 is about 496.7635763232.

The spelling of 122588360 in words is "one hundred twenty-two million, five hundred eighty-eight thousand, three hundred sixty".