122583261 has 16 divisors (see below), whose sum is σ = 176434560. Its totient is φ = 75472320.

The previous prime is 122583259. The next prime is 122583271. The reversal of 122583261 is 162385221.

It is not a de Polignac number, because 122583261 - 2¹ = 122583259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122583211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28630 + ... + 32631.

It is an arithmetic number, because the mean of its divisors is an integer number (11027160).

Almost surely, 2^122583261 is an apocalyptic number.

It is an amenable number.

122583261 is a deficient number, since it is larger than the sum of its proper divisors (53851299).

122583261 is a wasteful number, since it uses less digits than its factorization.

122583261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61316.

The product of its digits is 5760, while the sum is 30.

The square root of 122583261 is about 11071.7325202517. The cubic root of 122583261 is about 496.7566886856.

The spelling of 122583261 in words is "one hundred twenty-two million, five hundred eighty-three thousand, two hundred sixty-one".