122241280 has 108 divisors (see below), whose sum is σ = 340785900. Its totient is φ = 41889792.

The previous prime is 122241247. The next prime is 122241283. The reversal of 122241280 is 82142221.

It can be written as a sum of positive squares in 2 ways, for example, as 72454144 + 49787136 = 8512^2 + 7056^2 .

It is not an unprimeable number, because it can be changed into a prime (122241283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61746 + ... + 63694.

It is an arithmetic number, because the mean of its divisors is an integer number (3155425).

Almost surely, 2^122241280 is an apocalyptic number.

122241280 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 122241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170392950).

122241280 is an abundant number, since it is smaller than the sum of its proper divisors (218544620).

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

122241280 is an equidigital number, since it uses as much as digits as its factorization.

122241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 122241280 is about 11056.2778546851. The cubic root of 122241280 is about 496.2943102429.

The spelling of 122241280 in words is "one hundred twenty-two million, two hundred forty-one thousand, two hundred eighty".