122805280 has 192 divisors, whose sum is σ = 347493888. Its totient is φ = 40550400.

The previous prime is 122805271. The next prime is 122805281. The reversal of 122805280 is 82508221.

It is a super-2 number, since 2×122805280² = 30162273591756800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122805281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813205 + ... + 813355.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2^122805280 is an apocalyptic number.

122805280 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 122805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173746944).

122805280 is an abundant number, since it is smaller than the sum of its proper divisors (224688608).

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

122805280 is a wasteful number, since it uses less digits than its factorization.

122805280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 122805280 is about 11081.7543737443. The cubic root of 122805280 is about 497.0564112443.

The spelling of 122805280 in words is "one hundred twenty-two million, eight hundred five thousand, two hundred eighty".