122353280 has 128 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 40550400.

The previous prime is 122353279. The next prime is 122353313. The reversal of 122353280 is 82353221.

It is a tau number, because it is divible by the number of its divisors (128).

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, 138440 + ... + 139320.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^122353280 is an apocalyptic number.

122353280 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 122353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

122353280 is an abundant number, since it is smaller than the sum of its proper divisors (223108480).

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

122353280 is an equidigital number, since it uses as much as digits as its factorization.

122353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 122353280 is about 11061.3416907715. The cubic root of 122353280 is about 496.4458356942.

The spelling of 122353280 in words is "one hundred twenty-two million, three hundred fifty-three thousand, two hundred eighty".