122882409 has 24 divisors (see below), whose sum is σ = 202397832. Its totient is φ = 71170560.

The previous prime is 122882363. The next prime is 122882411. The reversal of 122882409 is 904288221.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 122877225 = 72^2 + 11085^2 .

It is not a de Polignac number, because 122882409 - 2⁷ = 122882281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122882449) 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 23 ways as a sum of consecutive naturals, for example, 28902 + ... + 32879.

It is an arithmetic number, because the mean of its divisors is an integer number (8433243).

Almost surely, 2^122882409 is an apocalyptic number.

It is an amenable number.

122882409 is a deficient number, since it is larger than the sum of its proper divisors (79515423).

122882409 is a wasteful number, since it uses less digits than its factorization.

122882409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61817 (or 61814 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 122882409 is about 11085.2338270331. The cubic root of 122882409 is about 497.1604497695.

The spelling of 122882409 in words is "one hundred twenty-two million, eight hundred eighty-two thousand, four hundred nine".