122205580 has 48 divisors (see below), whose sum is σ = 294497280. Its totient is φ = 41727168.

The previous prime is 122205563. The next prime is 122205581. The reversal of 122205580 is 85502221.

It is a super-3 number, since 3×122205580³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (122205581) by changing a digit.

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, 35161 + ... + 38479.

It is an arithmetic number, because the mean of its divisors is an integer number (6135360).

Almost surely, 2^122205580 is an apocalyptic number.

122205580 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 122205580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147248640).

122205580 is an abundant number, since it is smaller than the sum of its proper divisors (172291700).

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

122205580 is a wasteful number, since it uses less digits than its factorization.

122205580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 122205580 is about 11054.6632694081. The cubic root of 122205580 is about 496.2459920535.

The spelling of 122205580 in words is "one hundred twenty-two million, two hundred five thousand, five hundred eighty".