122133241 has 8 divisors (see below), whose sum is σ = 123144840. Its totient is φ = 121126272.

The previous prime is 122133223. The next prime is 122133247. The reversal of 122133241 is 142331221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60840000 + 61293241 = 7800^2 + 7829^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122133241 - 2⁷ = 122133113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122133247) 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 7 ways as a sum of consecutive naturals, for example, 67375 + ... + 69163.

It is an arithmetic number, because the mean of its divisors is an integer number (15393105).

Almost surely, 2^122133241 is an apocalyptic number.

It is an amenable number.

122133241 is a deficient number, since it is larger than the sum of its proper divisors (1011599).

122133241 is a wasteful number, since it uses less digits than its factorization.

122133241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315.

The product of its digits is 288, while the sum is 19.

The square root of 122133241 is about 11051.3909079355. The cubic root of 122133241 is about 496.1480559245.

Adding to 122133241 its reverse (142331221), we get a palindrome (264464462).

The spelling of 122133241 in words is "one hundred twenty-two million, one hundred thirty-three thousand, two hundred forty-one".